AlgebraVery hardInequality with a fraction and a negative
Algebra practice question
Which of the following describes all solutions to 5 − (x/3) ≥ 2?
- A. x ≤ 9Correct
- B. x ≥ 9
- C. x ≤ −9
- D. x ≥ 1
Answer: A. x ≤ 9
Subtract 5: −x/3 ≥ −3. Multiply by −3 and flip: x ≤ 9.
Why the other answers are wrong
- B. x ≥ 9
- x ≥ 9 forgets to flip when multiplying by a negative.
- C. x ≤ −9
- x ≤ −9 flips but gets the sign of 9 wrong.
- D. x ≥ 1
- x ≥ 1 comes from treating 5 − x/3 as (5 − x)/3 and dropping the flip.
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