You can put this solution on YOUR website! Solve the following system of linear inequalities by graphing.
3x – y < 2
x + y > 2
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Solve each for y as follows:
y>3x-2
y>-x+2
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Graph the boundary lines for each of the INEQUALITIES:
(Graph these as dashed lines because they are not part of the solution set.)
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Pick a test point like (0,0)
Test that point in the INEQUALITY statements, as follows:
For y>3x-2 you get 0>0-2; this is false so the halfplane graph of
y>3x-2 is on the Other side of the EQUALITY line. The halfplane
you should shade is ABOVE the green line.
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For y>-x+2 you get 0>0+2; this is true so the halfplane graph of
y>-x+2 is on the same side of the boundary line as the test point.
The halfplane you should shade is BELOW the black line
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Darken the INTERSECTION of the two halfplanes.
That is the solution set for the system of INEQUALITIES.
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Cheers,
Stan H.
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