Lösung 2.2:8b
Aus Online Mathematik Brückenkurs 1
(Unterschied zwischen Versionen)
K (Lösning 2.2:8b moved to Solution 2.2:8b: Robot: moved page) |
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| + | A point whose coordinates satisfy | ||
| + | <math>y<3x-4</math> | ||
| + | has a | ||
| + | <math>y</math> | ||
| + | -coordinate which is less than that of a point lying on the line | ||
| + | <math>y=3x-4</math> | ||
| + | and having the same | ||
| + | <math>x</math> | ||
| + | -coordinate. This means that the area we should shade consists of all points below the line | ||
| + | <math>y=3x-4</math>. | ||
| + | |||
{{NAVCONTENT_START}} | {{NAVCONTENT_START}} | ||
| - | + | ||
{{NAVCONTENT_STOP}} | {{NAVCONTENT_STOP}} | ||
[[Image:2_2_8_b.gif|center]] | [[Image:2_2_8_b.gif|center]] | ||
| + | |||
| + | We can draw the line | ||
| + | <math>y=3x-4</math> | ||
| + | by choosing two x-values, for example | ||
| + | <math>x=0</math> | ||
| + | and | ||
| + | <math>x=1</math>, using the equation of the line to calculate the corresponding y-coordinates, | ||
| + | <math>y=3\centerdot 0-4=-4</math> | ||
| + | and | ||
| + | <math>y=3\centerdot 1-4=-1</math> | ||
| + | respectively, and then draw a straight line between the two points that we have obtained. | ||
Version vom 12:34, 18. Sep. 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.

