AlgebraEasy–MediumInequality with distribution
Algebra practice question
Which of the following describes all solutions of 5(x − 2) > 15?
- A. x > 5Correct
- B. x > 3
- C. x > 13/5
- D. x < 5
Answer: A. x > 5
Divide by 5 first: x − 2 > 3, so x > 5.
Why the other answers are wrong
- B. x > 3
- 3 is the bound on x − 2, not on x; add back the 2.
- C. x > 13/5
- 13/5 comes from adding 2 before clearing the 5 incorrectly; divide first, then add 2.
- D. x < 5
- Dividing by positive 5 keeps the > direction.
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