Question

Select the order pair(s) that are solutions to this system of inequalities:

y < -3x + 2

y ≥ x - 1

Answer 1

You need to substitute the ordered pairs into the system of equations and pick the ones that makes the system of equations true:

0 < -3(0) + 2 (True)
0 ≥ 0 - 1 (True)
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-4 < -3(0) + 2 (True)
-4 ≥ 0 - 1 (False)
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4 < -3(1) + 2 (False)
4 ≥ 1 - 1 (True)
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3 < -3(-3) + 1 (True)
3 ≥ -3 - 1 (True)
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The Answer is (0,0) and (-3,3)