Question

HELP ASAP 100 POINTS FOR CORRECT ANSWER ONYL (WRONG WILL BE DELETED)

Eduardo solved the following inequality, and his work is shown below:

−5(x + 4) ≥ 4x − 38
−5x − 20 ≥ 4x − 38
−9x − 20 ≥ −38
−9x ≥ −18
x ≥ 2


What mistake did Eduardo make in solving the inequality?

When dividing by −9, he did not change the direction of the sign.
He subtracted 4x from both sides when he should have added.
He added 20 to both sides when he should have subtracted.
He did not make a mistake.

Answer 1

• A) When dividing by −9, he did not change the direction of the sign.

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Let's verify the steps of solution:

• −5(x + 4) ≥ 4x − 38 Given
• −5x − 20 ≥ 4x − 38 Distributed, correct
• −9x − 20 ≥ −38 Substracted 4x from both sides, correct
• −9x ≥ −18 Added 20 to both sides, correct
• x ≥ 2 Divided both sides by -9, incorrect, inequality sign should be changed to opposite when dividing by a negative number.

The matching answer choice is A.