16Hit1600
AlgebraVery hardCounting integers between two bounds

Algebra practice question

How many integers x satisfy both 4 − x > 1 and 2x + 5 ≥ 3?

Answer: 4

The first gives x < 3 and the second x ≥ −1, so x is −1, 0, 1, or 2.

Common wrong answers

If you answered 2
2 counts only 1 and 2.
If you answered 3
3 leaves out −1, which the ≥ allows.
If you answered 5
5 includes 3, but the first inequality is strict.

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