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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
 +
<math>x</math>
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over to the right-hand side and dividing by
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<math>3</math>, the inequality can be rewritten as
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 +
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<math>y\le 2-\frac{2}{3}x</math>.
 +
 +
Then, we see that the area that we should shade consists of all the points under the straight line
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 +
<math>y=2-\frac{2}{3}x</math>.
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 +
{{NAVCONTENT_START}}
{{NAVCONTENT_START}}
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<center> [[Image:2_2_8c.gif]] </center>
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{{NAVCONTENT_STOP}}
{{NAVCONTENT_STOP}}
[[Image:2_2_8_c.gif|center]]
[[Image:2_2_8_c.gif|center]]

Revision as of 12:40, 18 September 2008

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


y232x.

Then, we see that the area that we should shade consists of all the points under the straight line

y=232x.