16Hit1600
AlgebraHardInequality with a negative coefficient

Algebra practice question

Which of the following describes all solutions of 3 − 4x ≥ −9?

  1. A. x ≤ 3Correct
  2. B. x ≥ 3
  3. C. x ≤ −3
  4. D. x ≥ −3

Answer: A. x ≤ 3

Subtract 3: −4x ≥ −12. Divide by −4 and flip: x ≤ 3.

Why the other answers are wrong

B. x ≥ 3
x ≥ 3 forgets to flip the inequality.
C. x ≤ −3
x ≤ −3 mishandles the sign of 12.
D. x ≥ −3
x ≥ −3 is wrong on both counts.

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