AlgebraEasy–MediumSolving an inequality with a negative coefficient
Algebra practice question
Which of the following is equivalent to −2x + 5 > 11?
- A. x < −3Correct
- B. x > −3
- C. x < 3
- D. x > 3
Answer: A. x < −3
−2x > 6, and dividing by −2 reverses the inequality: x < −3.
Why the other answers are wrong
- B. x > −3
- The inequality must be reversed when dividing by −2.
- C. x < 3
- The sign of 3 is wrong.
- D. x > 3
- Both the direction and the sign are wrong.
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