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?

He subtracted 1x from both sides when he should have added 4x.

When dividing by −5, he did not change the ≤ to ≥.

He added 7 to both sides when he should have added 52.

He did not make a mistake.

Answer 1

-5x<=-45
then x>=9

Answer 2

"When dividing by -5, he did not change the signs."
When you divide by a negative, always switch the inequality sign.

Answer 3

so no mistake

Answer 4

the minus ommition changes the sign