Question

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

−2(x − 5) ≤ 6x + 18
−2x + 10 ≤ 6x + 18
−8x +10 ≤ 18
−8x ≤ 8
x ≤ −1

What mistake did Marcie make in solving the inequality?

Answer 1

She forgot to flip the sign in the last step.

Explanation:

In inequality, if you multiply or divide by a negative number, you would have to reverse the inequality sign.

Marice forgot to do this in the final step. She had to divide '-8' to get x completely on one side. All other steps are correct.

The correct answer is x ≥ -1.

Hope this helps.