AlgebraVery hardIntegers satisfying two strict inequalities
Algebra practice question
How many integers x satisfy both 2x + 1 > 5 and 3x − 4 < 11?
Answer: 2
The first gives x > 2 and the second x < 5, so x is 3 or 4.
Common wrong answers
- If you answered 1
- 1 counts only one of 3 and 4.
- If you answered 3
- 3 includes 5, but the second inequality is strict.
- If you answered 4
- 4 includes 2 and 5.
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