What is the solution set of the inequality |2x - 7| <= 5?
Answer and explanation
Correct answer: C. [1, 6]
- Step 1: Rewrite |2x - 7| <= 5 as -5 <= 2x - 7 <= 5. Step 2. Add 7: 2 <= 2x <= 12. Step 3. Divide by 2: 1 <= x <= 6, or [1, 6]. Answer: [1, 6]. Why not the others: Strict inequalities (1, 6) omit the boundary endpoints.
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