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

-2 (x - 5) ≤ 6x + 18

-2x + 10 ≤ 6x + 18

-8x + 10 ≤ 18

-8x ≤ 8

x ≤ - 1

What mistake did Marcie make in solving the inequality?

She subtracted 6x from both sides when she should have added.

She subtracted 10 from both sides when she should have added.

She did not make a mistake.

When dividing by - 8, she did not change the direction of the sign.

Question

Mathematics

Maximo Raymond

3 November, 15:24

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

-2 (x - 5) ≤ 6x + 18

-2x + 10 ≤ 6x + 18

-8x + 10 ≤ 18

-8x ≤ 8

x ≤ - 1

What mistake did Marcie make in solving the inequality?

She subtracted 6x from both sides when she should have added.

She subtracted 10 from both sides when she should have added.

She did not make a mistake.

When dividing by - 8, she did not change the direction of the sign.

+3

Answers (1)

Know the Answer?

Amiya Lloyd · Answer 1

When dividing an inequality with a negative value, the inequality sign changes direction.

The original Less than or equal to sign should heave been changed to greater than or equal to.

The answer is: When dividing by - 8, she did not change the direction of the sign.