Determine the solution to the system
y≤x+6 2x+y≤-6
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solve just as for equations:
y <= x+6
-x + y <= 6
2x + y <= -6
3x <= -12
x <= -4
4 + y <= 6
y <= 2
Rearranging the conditions as functions of x,
y <= x + 6
y <= -2x - 6
The region below the lines, which intersect at (-4,2) is the solution set