16Hit1600
AlgebraMediumCounting integers that satisfy two inequalities

Algebra practice question

How many integer values of x satisfy both 4 − x ≥ 1 and x > −2?

Answer: 5

4 − x ≥ 1 gives x ≤ 3, and with x > −2 the integers are −1, 0, 1, 2, and 3: five in all.

Common wrong answers

If you answered 3
3 counts only the positive integers.
If you answered 4
4 forgets zero.
If you answered 6
6 includes −2, which is not greater than −2.

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