Question

What is the solution set for this inequality

Answer 1

Answer:

$x$

Step-by-step 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

Answer:

$x < 7$

Step-by-step explanation:

1) Subtract 40 from both sides.

$- 8x > - 16 - 40$

2) Simplify -16 - 40 to -56.

$- 8x > - 56$

3) Divide both sides by -8.

$x > \frac{ - 56}{ - 8}$

4) Two negative numbers makes a positive.

$x > \frac{56}{8}$

5) Simplify 56/8 to to 7.

$x < 7$

Therefor the answer is option B. x < 7.