16Hit1600
AlgebraEasy–MediumSolving an inequality with a negative coefficient

Algebra practice question

Which of the following describes all solutions of −2x + 7 > 1?

  1. A. x < 3Correct
  2. B. x > 3
  3. C. x < −3
  4. D. x > −4

Answer: A. x < 3

Subtract 7: −2x > −6. Divide by −2 and flip: x < 3.

Why the other answers are wrong

B. x > 3
x > 3 forgets to flip the inequality when dividing by a negative.
C. x < −3
x < −3 divides −6 by 2 instead of −2 (sign error).
D. x > −4
x > −4 adds 7 instead of subtracting it and doesn't flip.

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