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Problem 7 - Entrance Test
Solve the inequality |3x - 1| > 5.
A. x < -4/3 or x > 2
B. x < -2 or x > 4/3
C. x < 2 or x > 4/3
D. x > -4/3 and x < 2
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Correct: A
To solve |3x - 1| > 5, we must solve two inequalities: 3x - 1 > 5 and 3x - 1 < -5. Solving 3x - 1 > 5, we have 3x > 6, x > 2. Solving 3x - 1 < -5, we have 3x < -4, x < -4/3. So the solution set is x < -4/3 or x > 2.