Lösung 2.2:8b
Aus Online Mathematik Brückenkurs 1
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Version vom 14:02, 22. Okt. 2008
A point whose coordinates satisfy \displaystyle y < 3x-4 has a y-coordinate which is less than that of a point lying on the line \displaystyle y=3x-4 and having the same 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\cdot 0-4=-4 and \displaystyle y=3\cdot 1-4=-1 respectively, and then draw a straight line between the two points that we have obtained.