Solve the absolute value inequality: |3x - 5| <= 10.
Answer and explanation
Correct answer: A. -5/3 <= x <= 5
- Step 1: Set up double inequality: -10 <= 3x - 5 <= 10. Step 2. Add 5 to all parts: -5 <= 3x <= 15. Step 3. Divide by 3: -5/3 <= x <= 5. Answer: -5/3 <= x <= 5. Why not the others: Strict inequalities (<) omit endpoints; disjoint intervals represent |3x - 5| >= 10; -5 <= x <= 5 forgets to divide by 3.
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