Question

Andrew solved the following inequality, and his work is shown below:

−4(x + 8) ≤ −2x + 50
−4x − 32 ≤ −2x + 50
−2x − 32 ≤ 50
−2x ≤ 82
x ≤ −41

What mistake did Andrew make in solving the inequality?

a
He did not make a mistake.

b
When dividing by −2, he did not change the direction of the sign.

c
He added 2x to both sides when he should have subtracted.

d
He added 32 to both sides when he should have subtracted.

Answer 1

B

Explanation:

When dividing or multiplying by a negative number, you flip the sign.