4
QuizMultiple Choice

Solving One-Variable Inequalities — Unit test

Question 4 • AZ-Algebra 1A (MA101)

Solve the inequality.2(4x – 3) ≥ –3(3x) + 5x?

Answer
A
x ≥ 0.5
B
x ≥ 2
C
(–∞, 0.5]
D
(–∞, 2]

Explanation

Distribute on both sides: 2(4x − 3) = 8x − 6 and −3(3x) + 5x = −4x. Then 8x − 6 ≥ −4x, so adding 4x and 6 gives 12x ≥ 6. Dividing by 12 yields x ≥ 0.5, which is choice A.

AI-written and checked against the verified answer.

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