16Hit1600
AlgebraEasyDividing an inequality by a negative

Algebra practice question

Which of the following describes all values of x that satisfy −3x ≥ 12?

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

Answer: A. x ≤ −4

Dividing by −3 reverses the inequality: x ≤ −4.

Why the other answers are wrong

B. x ≥ −4
This forgets to reverse the inequality.
C. x ≤ 4
This drops the negative sign.
D. x ≥ 4
This drops the sign and does not reverse.

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