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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- Medium
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