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.

Question

Mathematics

Earl

1 April, 11:42

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.

+3

Answers (1)

Know the Answer?

Johan Stafford · Answer 1

So basically, all we have to do is change the signs when we multiply or divide by a negative so our answer is "When dividing by - 8, she did not change the signs.