Question

Andrew solved the following inequality and his work is shown below:
-4(x + 8) + 25 ≤ -2 + 1(x - 50)

-4x - 32 + 25 ≤ -2 + 1x - 50

-4x - 7 ≤ 1x - 52

-5x ≤ -45

x ≤9

What mistake did Andrew make in solving the inequality?

Question 3 options:
1) He subtracted 1x from both sides when he should have added 4x.
2) When dividing by -5, he did not change the ≤ to ≥.
3) He added 7 to both sides when he should have added 52.
4) He did not make a mistake.

Answer 1

well when you divide or multiply numbers the signs changes like this for example
-13x ≥ 169
x ≤ -13

Answer 2

so the person made a mistake #2