16Hit1600
AlgebraVery hardLargest integer in a compound inequality

Algebra practice question

If −3 < 2 − x ≤ 4, what is the largest integer value of x?

Answer: 4

From −3 < 2 − x, x < 5; from 2 − x ≤ 4, x ≥ −2. The largest integer less than 5 is 4.

Common wrong answers

If you answered 5
5 makes 2 − x equal to −3, which is not greater than −3.
If you answered 6
6 ignores the left inequality.
If you answered -2
−2 is the smallest value of x, not the largest.

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