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

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?

meowlover17 · Answer

@math&ing001

meowlover17 · Answer

A. He subtracted 1x from both sides when he should have added 4x.

 B.When dividing by −5, he did not change the ≤ to ≥.

 C.He added 7 to both sides when he should have added 52.

 D.He did not make a mistake.

meowlover17 · Answer

I saw no mistake but i could be wrong.

welshfella · Answer

when dividing both sides by a negative you have to flip the signs

meowlover17 · Answer

Oh okay so the answer is B.

welshfella · Answer

yes

meowlover17 · Answer

Thanks for your help @welshfella

welshfella · Answer

yw