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?

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?

anonymous · Answer

on the fourth step.
you divide by -8 right?

the direction of the inequality sign changes whenever divided/multiplied with a negative(-) number.

its supposed to be x ≥ -3

anonymous · Answer

so there is no mistake

anonymous · Answer

When you divide and inequality by a negative number, you must flip the sign. So X is greater than or equal to -3.

anonymous · Answer

oh alright i see now. thank you guys very much