Question

Which of the following ordered pairs is a solution to the inequality y> -2x +7?

Select the correct answer below:
O (4Ė2)
O (-4Ė1)
O (3Ė-5)
O (-8Ė-2)
O (-9Ė-6)

Answer 1

None of the given ordered pairs are solutions to the inequality y > -2x + 7.

Step-by-step explanation:

To determine which ordered pairs are solutions to the inequality y > -2x + 7, you need to substitute the values of x and y from each ordered pair into the inequality and check if the inequality holds true.

1. (4,-2)

Substituting x = 4 and y = -2 into the inequality, we have -2 > -2(4) + 7, which simplifies to -2 > -8 + 7, -2 > -1. This is false.

1. (-4,-1)

Substituting x = -4 and y = -1 into the inequality, we have -1 > -2(-4) + 7, which simplifies to -1 > 8 + 7, -1 > 15. This is false.

1. (3,-5)

Substituting x = 3 and y = -5 into the inequality, we have -5 > -2(3) + 7, which simplifies to -5 > -6 + 7, -5 > 1. This is false.

1. (-8,-2)

Substituting x = -8 and y = -2 into the inequality, we have -2 > -2(-8) + 7, which simplifies to -2 > 16 + 7, -2 > 23. This is false.

1. (-9,-6)

Substituting x = -9 and y = -6 into the inequality, we have -6 > -2(-9) + 7, which simplifies to -6 > 18 + 7, -6 > 25. This is false.

None of the given ordered pairs are solutions to the inequality y > -2x + 7.

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