Question

What is the solution set for the inequality -8x + 40 > -16?

a) x < 7
b) x > 7
c) x < -7
d) x > -7

Answer 1

To solve the inequality -8x + 40 > -16, subtract 40 from both sides and divide by -8 to get x < 7.

Step-by-step explanation:

To solve the inequality -8x + 40 > -16, we need to isolate x. First, subtract 40 from both sides of the inequality, which gives -8x > -56. Then, divide both sides by -8. When dividing an inequality by a negative number, the inequality sign flips. So we have x < 7. Therefore, the solution set for the inequality is x < 7. This corresponds to option a) in the given answer choices.

Add 8x to both sides: 40 > 8x - 16.

Add 16 to both sides: 56 > 8x.

Divide both sides by 8: 7 > x.