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?

She subtracted 6x from both sides when she should have added 2x.
She added 2 to both sides when she should have subtracted 22.
When dividing by −8, she did not change the ≤ to ≥.
She did not make a mistake.

Answer 1

@sissyedgar

Answer 2

hint:

the error is in the last two steps

−8x ≤ 24
x ≤ −3

any idea what is wrong?

Answer 3

No i dont understand this

Answer 4

they divide wrong?

Answer 5

since we divided by -8 we need to change the direction of the inequality

Answer 6

ok

Answer 7

≤ becomes ≥

so which answer choice do you think is correct?

Answer 8

so its C?

Answer 9

good!