Question

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

Answer 1

She didn't make any mistake

Answer 2

Answer:

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

Step-by-step explanation:

Marcie solved the following inequality

$-2(x -5) - 12 \leq 4 + 6(x + 3)$

-2 and 6 is distributed inside the parenthesis and did it correctly

$-2x + 10 - 12 \leq 4 + 6x + 18$

Like terms are combined and it is correct.

$-2x - 2 \leq 6x + 22$

Like terms are combined further

$-8x \leq 24$

When we divide or multiply an inequality by a negative number then we change the inequality sign.

$x \geq -3$

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