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AlgebraMediumInequality with no solution

Algebra practice question

Which of the following inequalities has no solution?

  1. A. x + 3 > x + 5Correct
  2. B. 2x > x
  3. C. x < 5
  4. D. 3x ≥ 3x

Answer: A. x + 3 > x + 5

x + 3 > x + 5 simplifies to 3 > 5, which is false for every x.

Why the other answers are wrong

B. 2x > x
2x > x holds for every positive x.
C. x < 5
Any number less than 5 works.
D. 3x ≥ 3x
3x ≥ 3x is true for every x.

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