3
QuizMultiple Choice

Solving Compound Inequalities — Unit test

Question 3 • 4413VA ALGEBRA 3 SEM A

Which best describes the solution set for the inequality below?3x + 7 ≤ 4x – 8 or –2x + 3 ≥ 1

Answer
A
x ≤ 1 or x ≥ 15
B
x ≥ 1 or x ≤ 15
C
x ≥ 1
D
x ≤ 15

Explanation

Solve each inequality separately because they are joined by “or.” From 3x + 7 ≤ 4x − 8, subtract 3x and add 8 to get x ≥ 15. From −2x + 3 ≥ 1, subtract 3 and divide by −2, reversing the inequality, to get x ≤ 1. The solution is x ≤ 1 or x ≥ 15, which is choice A.

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