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.

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.

anonymous · Answer

moving between steps 4 and 5, if you divide by a negative, the sign changes direction, so C

anonymous · Answer

$\normalsize \color{black}{ \bf    }$

anonymous · Answer

you mean B? right