16Hit1600
AlgebraVery hardIntegers satisfying two inequalities

Algebra practice question

How many integers x satisfy both 2x − 3 < 7 and 5 − x < 3?

Answer: 2

The first gives x < 5 and the second gives x > 2, 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 first inequality is strict.
If you answered 4
4 includes 2 and 5.

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