16Hit1600
AlgebraVery hardSum of integer solutions of a compound inequality

Algebra practice question

What is the sum of all integer values of x that satisfy 3 ≤ 2x − 1 ≤ 9?

Answer: 14

Add 1 and halve: 2 ≤ x ≤ 5. The integers are 2, 3, 4, 5, whose sum is 14.

Common wrong answers

If you answered 4
4 is how many integers satisfy it, not their sum.
If you answered 9
9 omits x = 5.
If you answered 12
12 leaves out one endpoint; both endpoints are included because the inequalities are ≤.

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