AlgebraEasy–MediumSolving an inequality with a negative coefficient
Algebra practice question
Which of the following describes all solutions of −2x + 7 > 1?
- A. x < 3Correct
- B. x > 3
- C. x < −3
- 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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