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AlgebraEasySolving a one-step-and-divide inequality

Algebra practice question

Which of the following describes all solutions of 3x + 5 < 20?

  1. A. x < 5Correct
  2. B. x > 5
  3. C. x < 15
  4. D. x ≤ 5

Answer: A. x < 5

Subtract 5, then divide by 3: 3x < 15, so x < 5.

Why the other answers are wrong

B. x > 5
Dividing by the positive number 3 does not flip the inequality.
C. x < 15
15 is 3x's bound; divide by 3 for x < 5.
D. x ≤ 5
The strict < stays strict; x = 5 gives 20, which is not less than 20.

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