16Hit1600
AlgebraVery hardSystem of inequalities with no solution

Algebra practice question

Which of the following systems of inequalities has no solution?

  1. A. x > 5 and x < 2Correct
  2. B. x > 5 and x < 8
  3. C. x > 2 and x > 5
  4. D. x < 2 and x < 5

Answer: A. x > 5 and x < 2

No number is both greater than 5 and less than 2.

Why the other answers are wrong

B. x > 5 and x < 8
Any x between 5 and 8, such as 6, works.
C. x > 2 and x > 5
Any x greater than 5 satisfies both.
D. x < 2 and x < 5
Any x less than 2 satisfies both.

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