AlgebraVery hardSystem of inequalities with no solution
Algebra practice question
Which of the following systems of inequalities has no solution?
- A. x > 5 and x < 2Correct
- B. x > 5 and x < 8
- C. x > 2 and x > 5
- 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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