2
QuizMultiple Choice

Solving Compound Inequalities — Unit test

Question 2 • 4413VA ALGEBRA 3 SEM A

Which compound inequality has no solution?

Answer
A
x ≤ –2 and 2x ≥ 6
B
x ≤ –1 and 5x ≤ 5
C
x ≤ –1 and 3x ≥ –3
D
x ≤ –2 and 4x ≤ –8

Explanation

For choice A, the first inequality requires x ≤ −2. The second, 2x ≥ 6, requires x ≥ 3 after dividing both sides by 2. No number can be both at most −2 and at least 3, so this compound inequality has no solution. Each other choice has overlapping conditions, such as x = −1 in B and C, or x = −2 in D.

AI-written and checked against the verified answer.

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