AlgebraEasyInequality with a negative variable
Algebra practice question
If −x > 3, which of the following must be true?
- 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 must reverse.
- C. x > 3
- The sign of 3 changes as well.
- D. x < 3
- The sign of 3 must change.
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