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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.

Verified Answer :

cher

So basically, Marcie did everything right until she got to the last part of the problem. 

At the part: -8x ≤ 24 , she should have changed the ≤ sign to this sign ≥ because when you multiply or divide then you have to change the sign.

So, "When dividing by -8, she did not change the ≤ to ≥.

~Hope I helped!~

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