Solution 2.2:8c

From Förberedande kurs i matematik 1

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m (Lösning 2.2:8c moved to Solution 2.2:8c: Robot: moved page)
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By moving the term in ''x'' over to the right-hand side and dividing by 3, the inequality can be rewritten as
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<center> [[Image:2_2_8c.gif]] </center>
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{{Displayed math||<math>y\le 2-\frac{2}{3}x\,\textrm{.}</math>}}
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Then, we see that the area that we should shade consists of all the points under the straight line <math>y=2-\tfrac{2}{3}x\,</math>.
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[[Image:2_2_8_c.gif|center]]
[[Image:2_2_8_c.gif|center]]

Current revision

By moving the term in x over to the right-hand side and dividing by 3, the inequality can be rewritten as

\displaystyle y\le 2-\frac{2}{3}x\,\textrm{.}

Then, we see that the area that we should shade consists of all the points under the straight line \displaystyle y=2-\tfrac{2}{3}x\,.