AlgebraEasy–MediumDividing by a negative flips the sign
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. Dividing by −2 reverses the inequality: x ≥ 3.
Why the other answers are wrong
- B. x ≤ 3
- Dividing by a negative number must flip ≤ to ≥.
- C. x ≥ −3
- −3 drops a sign; −6 ÷ −2 = +3.
- D. x ≤ 4
- 4 comes from adding instead of subtracting 7; the bound is 3.
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