AlgebraHardSolving an inequality with x on both sides
Algebra practice question
Which of the following describes all solutions of −4x + 9 ≥ x − 6?
- A. x ≤ 3Correct
- B. x ≥ 3
- C. x ≤ −3
- D. x ≥ −3
Answer: A. x ≤ 3
Add 4x and 6 to both sides: 15 ≥ 5x, so x ≤ 3.
Why the other answers are wrong
- B. x ≥ 3
- x ≥ 3 has the direction reversed; check x = 4: −7 ≥ −2 is false.
- C. x ≤ −3
- x ≤ −3 mishandles the constants (9 + 6 = 15, not −15).
- D. x ≥ −3
- x ≥ −3 combines both errors.
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