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1.6a Lösning 8 - Versionshistorik
2026-05-28T06:06:53Z
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https://matte3c.mathonline.se/index.php?title=1.6a_L%C3%B6sning_8&diff=35960&oldid=prev
Taifun den 28 september 2018 kl. 08.18
2018-09-28T08:18:38Z
<p></p>
<table class='diff diff-contentalign-left'>
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr style='vertical-align: top;'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 28 september 2018 kl. 08.18</td>
</tr><tr><td colspan="2" class="diff-lineno">Rad 9:</td>
<td colspan="2" class="diff-lineno">Rad 9:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Därmed kan intervallet skrivas om till olikeheten:</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Därmed kan intervallet skrivas om till olikeheten:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>::<math> | \, x \,- {\rm mittpunkt} \, | \leq \, {\rm halva\;längd} <del class="diffchange diffchange-inline">{</del>\<del class="diffchange diffchange-inline">color{White} x} </del>= <del class="diffchange diffchange-inline">{</del>\<del class="diffchange diffchange-inline">color{White} x} </del>| \, x - 3,5 \, | \leq 11,5  </math></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>::<math> | \, x \,- {\rm mittpunkt} \, | \leq \, {\rm halva\;längd} \<ins class="diffchange diffchange-inline">;\; </ins>= \<ins class="diffchange diffchange-inline">;\; </ins>| \, x - 3,5 \, | \leq 11,5  </math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Intervallet <math> -8 \leq x \leq 15 \, </math> kan skrivas om till olikheten <math> | \, x - 3,5 \, | \, \leq \, 11,5 </math> .</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Intervallet <math> -8 \leq x \leq 15 \, </math> kan skrivas om till olikheten <math> | \, x - 3,5 \, | \, \leq \, 11,5 </math> .</div></td></tr>
</table>
Taifun
https://matte3c.mathonline.se/index.php?title=1.6a_L%C3%B6sning_8&diff=13363&oldid=prev
Taifun den 19 augusti 2014 kl. 08.15
2014-08-19T08:15:25Z
<p></p>
<table class='diff diff-contentalign-left'>
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr style='vertical-align: top;'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 19 augusti 2014 kl. 08.15</td>
</tr><tr><td colspan="2" class="diff-lineno">Rad 9:</td>
<td colspan="2" class="diff-lineno">Rad 9:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Därmed kan intervallet skrivas om till olikeheten:</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Därmed kan intervallet skrivas om till olikeheten:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>::<math> | \, x \,- {\rm mittpunkt} \, | <del class="diffchange diffchange-inline">< </del>\, {\rm halva\;längd} {\color{White} x} = {\color{White} x} | \, x - 3,5 \, | \leq 11,5  </math></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>::<math> | \, x \,- {\rm mittpunkt} \, | <ins class="diffchange diffchange-inline">\leq </ins>\, {\rm halva\;längd} {\color{White} x} = {\color{White} x} | \, x - 3,5 \, | \leq 11,5  </math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Intervallet <math> -8 \leq x \leq 15 \, </math> kan skrivas om till olikheten <math> | \, x - 3,5 \, | \, \leq \, 11,5 </math> .</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Intervallet <math> -8 \leq x \leq 15 \, </math> kan skrivas om till olikheten <math> | \, x - 3,5 \, | \, \leq \, 11,5 </math> .</div></td></tr>
</table>
Taifun
https://matte3c.mathonline.se/index.php?title=1.6a_L%C3%B6sning_8&diff=13362&oldid=prev
Taifun den 19 augusti 2014 kl. 08.14
2014-08-19T08:14:51Z
<p></p>
<table class='diff diff-contentalign-left'>
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr style='vertical-align: top;'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 19 augusti 2014 kl. 08.14</td>
</tr><tr><td colspan="2" class="diff-lineno">Rad 9:</td>
<td colspan="2" class="diff-lineno">Rad 9:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Därmed kan intervallet skrivas om till olikeheten:</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Därmed kan intervallet skrivas om till olikeheten:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>::<math> | \, x \,- {\rm mittpunkt} \, | < \, {\rm halva\;längd} {\color{White} x} = {\color{White} x} | \, x - 3,5 \, | <del class="diffchange diffchange-inline">< </del>11,5  </math></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>::<math> | \, x \,- {\rm mittpunkt} \, | < \, {\rm halva\;längd} {\color{White} x} = {\color{White} x} | \, x - 3,5 \, | <ins class="diffchange diffchange-inline">\leq </ins>11,5  </math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Intervallet <math> -8 <del class="diffchange diffchange-inline">< </del>x <del class="diffchange diffchange-inline">< </del>15 \, </math> kan skrivas om till olikheten <math> | \, x - 3,5 \, | \, <del class="diffchange diffchange-inline">< </del>\, 11,5 </math> .</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Intervallet <math> -8 <ins class="diffchange diffchange-inline">\leq </ins>x <ins class="diffchange diffchange-inline">\leq </ins>15 \, </math> kan skrivas om till olikheten <math> | \, x - 3,5 \, | \, <ins class="diffchange diffchange-inline">\leq </ins>\, 11,5 </math> .</div></td></tr>
</table>
Taifun
https://matte3c.mathonline.se/index.php?title=1.6a_L%C3%B6sning_8&diff=13361&oldid=prev
Taifun den 19 augusti 2014 kl. 08.12
2014-08-19T08:12:39Z
<p></p>
<table class='diff diff-contentalign-left'>
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr style='vertical-align: top;'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 19 augusti 2014 kl. 08.12</td>
</tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Mittpunkten till olikhetens lösningsintervall <math> \,-8 <del class="diffchange diffchange-inline">< </del>x <del class="diffchange diffchange-inline">< </del>15 </math>:</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Mittpunkten till olikhetens lösningsintervall <math> \,-8 <ins class="diffchange diffchange-inline">\leq </ins>x <ins class="diffchange diffchange-inline">\leq </ins>15 </math>:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>::<math> {-<del class="diffchange diffchange-inline">4 </del>+ <del class="diffchange diffchange-inline">6 </del>\over 2} = {<del class="diffchange diffchange-inline">2 </del>\over 2} = <del class="diffchange diffchange-inline">1 </del></math></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>::<math> {-<ins class="diffchange diffchange-inline">8 </ins>+ <ins class="diffchange diffchange-inline">15 </ins>\over 2} = {<ins class="diffchange diffchange-inline">7 </ins>\over 2} = <ins class="diffchange diffchange-inline">3,5 </ins></math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Intervallets halva längd:</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Intervallets halva längd:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>::<math> \left| {-<del class="diffchange diffchange-inline">4 </del>- <del class="diffchange diffchange-inline">6 </del>\over 2} \, \right| = \left| {-<del class="diffchange diffchange-inline">10 </del>\over 2} \, \right| = | -\,5 \, | = 5 </math></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>::<math> \left| {-<ins class="diffchange diffchange-inline">8 </ins>- <ins class="diffchange diffchange-inline">15 </ins>\over 2} \, \right| = \left| {-<ins class="diffchange diffchange-inline">23 </ins>\over 2} \, \right| = | -\<ins class="diffchange diffchange-inline">,11</ins>,5 \, | = <ins class="diffchange diffchange-inline">11,</ins>5 </math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Därmed kan intervallet skrivas om till olikeheten:</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Därmed kan intervallet skrivas om till olikeheten:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>::<math> | \, x \,- {\rm mittpunkt} \, | < \, {\rm halva\;längd} {\color{White} x} = {\color{White} x} | \, x - <del class="diffchange diffchange-inline">1 </del>\, | < 5  </math></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>::<math> | \, x \,- {\rm mittpunkt} \, | < \, {\rm halva\;längd} {\color{White} x} = {\color{White} x} | \, x - <ins class="diffchange diffchange-inline">3,5 </ins>\, | < <ins class="diffchange diffchange-inline">11,</ins>5  </math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Intervallet <math> -<del class="diffchange diffchange-inline">4 </del>< x < <del class="diffchange diffchange-inline">6 </del>\, </math> kan skrivas om till olikheten <math> | \, x -<del class="diffchange diffchange-inline">1 </del>\, | \, < \, 5 </math> .</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Intervallet <math> -<ins class="diffchange diffchange-inline">8 </ins>< x < <ins class="diffchange diffchange-inline">15 </ins>\, </math> kan skrivas om till olikheten <math> | \, x - <ins class="diffchange diffchange-inline">3,5 </ins>\, | \, < \<ins class="diffchange diffchange-inline">, 11</ins>,5 </math> .</div></td></tr>
</table>
Taifun
https://matte3c.mathonline.se/index.php?title=1.6a_L%C3%B6sning_8&diff=13360&oldid=prev
Taifun: Skapade sidan med 'Mittpunkten till olikhetens lösningsintervall <math> \,-8 < x < 15 </math>: ::<math> {-4 + 6 \over 2} = {2 \over 2} = 1 </math> Intervallets halva längd: ::<math> \left|...'
2014-08-19T08:08:25Z
<p>Skapade sidan med 'Mittpunkten till olikhetens lösningsintervall <math> \,-8 < x < 15 </math>: ::<math> {-4 + 6 \over 2} = {2 \over 2} = 1 </math> Intervallets halva längd: ::<math> \left|...'</p>
<p><b>Ny sida</b></p><div>Mittpunkten till olikhetens lösningsintervall <math> \,-8 < x < 15 </math>:<br />
<br />
::<math> {-4 + 6 \over 2} = {2 \over 2} = 1 </math><br />
<br />
Intervallets halva längd:<br />
<br />
::<math> \left| {-4 - 6 \over 2} \, \right| = \left| {-10 \over 2} \, \right| = | -\,5 \, | = 5 </math><br />
<br />
Därmed kan intervallet skrivas om till olikeheten:<br />
<br />
::<math> | \, x \,- {\rm mittpunkt} \, | < \, {\rm halva\;längd} {\color{White} x} = {\color{White} x} | \, x - 1 \, | < 5 </math><br />
<br />
Intervallet <math> -4 < x < 6 \, </math> kan skrivas om till olikheten <math> | \, x -1 \, | \, < \, 5 </math> .</div>
Taifun