Question

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

Answer 1

Answer:

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

Step-by-step explanation:

-4(x + 8) ≤ -2x + 50         use the distributive property: a(b + c) = ab + ac

-4x - 32 ≤ -2x + 50       add 2x to both sides

-4x + 2x - 32 ≤ -2x + 2x + 50

-2x - 32 ≤ 50          add 32 to both sides

-2x - 32 + 32 ≤ +50 + 32

-2x ≤ 82         divide both sides by (-2) / flip the inequality sign/

x ≥ -41

Andrew's mistake:

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