16Hit 1600
AlgebraEasy–MediumInequality with distribution

Algebra practice question

Which of the following describes all solutions of 5(x − 2) > 15?

  1. A. x > 5Correct
  2. B. x > 3
  3. C. x > 13/5
  4. 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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