AlgebraEasyDividing an inequality by a negative
Algebra practice question
The inequality −x < 3 is equivalent to which of the following?
- A. x > −3Correct
- B. x < −3
- C. x < 3
- D. x > 3
Answer: A. x > −3
Multiplying both sides by −1 reverses the inequality: x > −3.
Why the other answers are wrong
- B. x < −3
- The direction was not reversed.
- C. x < 3
- The sign of 3 was not changed.
- D. x > 3
- Reversed the direction but not the sign.
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