Solution 2.2:8b

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m (Lösning 2.2:8b moved to Solution 2.2:8b: Robot: moved page)
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A point whose coordinates satisfy
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<math>y<3x-4</math>
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has a
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<math>y</math>
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-coordinate which is less than that of a point lying on the line
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<math>y=3x-4</math>
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and having the same
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<math>x</math>
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-coordinate. This means that the area we should shade consists of all points below the line
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<math>y=3x-4</math>.
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{{NAVCONTENT_START}}
{{NAVCONTENT_START}}
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<center> [[Image:2_2_8b.gif]] </center>
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{{NAVCONTENT_STOP}}
{{NAVCONTENT_STOP}}
[[Image:2_2_8_b.gif|center]]
[[Image:2_2_8_b.gif|center]]
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We can draw the line
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<math>y=3x-4</math>
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by choosing two x-values, for example
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<math>x=0</math>
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and
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<math>x=1</math>, using the equation of the line to calculate the corresponding y-coordinates,
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<math>y=3\centerdot 0-4=-4</math>
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and
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<math>y=3\centerdot 1-4=-1</math>
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respectively, and then draw a straight line between the two points that we have obtained.

Revision as of 12:34, 18 September 2008

A point whose coordinates satisfy \displaystyle y<3x-4 has a \displaystyle y -coordinate which is less than that of a point lying on the line \displaystyle y=3x-4 and having the same \displaystyle x -coordinate. This means that the area we should shade consists of all points below the line \displaystyle y=3x-4.

We can draw the line \displaystyle y=3x-4 by choosing two x-values, for example \displaystyle x=0 and \displaystyle x=1, using the equation of the line to calculate the corresponding y-coordinates, \displaystyle y=3\centerdot 0-4=-4 and \displaystyle y=3\centerdot 1-4=-1 respectively, and then draw a straight line between the two points that we have obtained.

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