6
QuizMultiple Choice

Solving Compound Inequalities — Unit test

Question 6 • 4413VA ALGEBRA 3 SEM A

Which compound inequality has no solution?

Answer
A
x > 2 and 3x ≤ 9
B
x > 1 and 2x ≤ –2
C
x > –1 and 4x ≥ –8
D
x > –2 and 5x ≥ 15

Explanation

For choice B, divide 2x ≤ –2 by 2 to get x ≤ –1. The other inequality requires x > 1, so x would have to be both greater than 1 and at most –1, which is impossible. Therefore, choice B has no solution.

AI-written and checked against the verified answer.

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