Question

What is the solution set for this inequality

Answer 1

`x<7`

Explanation:

`-8x+40>-16`

Move the constant to the right-hand side and change its sign

`-8x>-16-40`

Calculate the difference

`-8x>-56`

Divide both sides of the inequality by -8 and flip the inequality sign

`x < 7`

Therefore the Correct Answer B. x < 7

Answer 2

`x < 7`

Explanation:

1) Subtract 40 from both sides.

`- 8x > - 16 - 40`

2) Simplify -16 - 40 to -56.

`- 8x > - 56`

3) Divide both sides by -8.

`x > ( - 56)/( - 8)`

4) Two negative numbers makes a positive.

`x > (56)/(8)`

5) Simplify 56/8 to to 7.

`x < 7`

Therefor the answer is option B. x < 7.