AlgebraEasyClearing a fraction in an inequality
Algebra practice question
Which of the following describes all solutions of x/4 ≥ 3?
- A. x ≥ 12Correct
- B. x ≤ 12
- C. x ≥ 3/4
- D. x ≥ 7
Answer: A. x ≥ 12
Multiply both sides by 4: x ≥ 12.
Why the other answers are wrong
- B. x ≤ 12
- Multiplying by the positive number 4 keeps the direction: x ≥ 12.
- C. x ≥ 3/4
- 3/4 inverts the operation; multiply by 4 instead.
- D. x ≥ 7
- 7 adds 4 and 3; the inequality multiplies: 4 · 3 = 12.
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