Marcie solved the following inequality, and her work is shown below:

−2(x − 5) − 12 ≤ 4 + 6(x + 3)
−2x + 10 − 12 ≤ 4 + 6x + 18
−2x − 2 ≤ 6x + 22
−8x ≤ 24
x ≤ −3

What mistake did Marcie make in solving the inequality?

A She subtracted 6x from both sides when she should have added 2x.

B She added 2 to both sides when she should have subtracted 22.

C When dividing by −8, she did not change the ≤ to ≥.

D She did not make a mistake.

Question

Marcie solved the following inequality, and her work is shown below:

−2(x − 5) − 12 ≤ 4 + 6(x + 3)
−2x + 10 − 12 ≤ 4 + 6x + 18
−2x − 2 ≤ 6x + 22
−8x ≤ 24
x ≤ −3

What mistake did Marcie make in solving the inequality?

A She subtracted 6x from both sides when she should have added 2x.

B She added 2 to both sides when she should have subtracted 22.

C When dividing by −8, she did not change the ≤ to ≥.

D She did not make a mistake.

anonymous · Answer

I might be wrong i think it might be c but my strong answer is B