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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?

Respuesta :

Answer:

Below in bold.

Step-by-step explanation:

−4(x + 8) ≤ −2x + 50

−4x − 32 ≤ −2x + 50   - correct

−2x − 32 ≤ 50    - correct

−2x ≤ 82  - correct

x ≤ −41      Error is on this line. When you divide by a negative ( here it is -2) you have to flip the inequality sign. The correct answer is x ≥ -41.

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