Question

What is the solution set to the inequality below?

−3x + 4 ≥ −2

Select one:
A. {x: x ≥ 2}
B. {x: x ≤ 2}
C. {x: x ≥ 4}
D. {x: x = 4}

Answer 1

B. {x: x ≤ 2}

Explanation:

Subtract 4 from both sides, giving you the inequality, -3x ≥ -6. Then divide -3 to both sides and the answer should be x ≤ 2. The reason as to why the inequality symbol flipped is because whenever you multiply or divide by a negative, it gets flipped around.