Ask Question
13 October, 04:33

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

-4 (x + 8) ≤ - 2x + 50

-4x - 32 ≤ - 2x + 50

-2x - 32 ≤ 50

-2x ≤ 82

x ≤ - 41

What mistake did Andrew make in solving the inequality?

1.) He did not make a mistake.

2.) When dividing by - 2, he did not change the direction of the sign.

3.) He added 2x to both sides when he should have subtracted.

4.) He added 32 to both sides when he should have subtracted.

+5
Answers (1)
  1. 13 October, 05:13
    0
    2.) When dividing by - 2, he did not change the direction of the sign.

    Step-by-step explanation:

    -4 (x + 8) ≤ - 2x + 50 use the distributive property: a (b + c) = ab + ac

    -4x - 32 ≤ - 2x + 50 add 2x to both sides

    -4x + 2x - 32 ≤ - 2x + 2x + 50

    -2x - 32 ≤ 50 add 32 to both sides

    -2x - 32 + 32 ≤ + 50 + 32

    -2x ≤ 82 divide both sides by (-2) / flip the inequality sign/

    x ≥ - 41

    Andrew's mistake:

    2.) When dividing by - 2, he did not change the direction of the sign.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Andrew solved the following inequality, and his work is shown below: -4 (x + 8) ≤ - 2x + 50 -4x - 32 ≤ - 2x + 50 -2x - 32 ≤ 50 -2x ≤ 82 x ≤ ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers