16Hit1600
AlgebraVery hardConstant that fixes a solution set

Algebra practice question

For what value of k is the solution set of 2x + k ≥ 3x − 1 exactly x ≤ 5?

Answer: 4

2x + k ≥ 3x − 1 gives k + 1 ≥ x, so the solution set is x ≤ k + 1. Setting k + 1 = 5 gives k = 4.

Common wrong answers

If you answered 5
5 forgets the −1 on the right side.
If you answered 6
6 adds 1 instead of subtracting.
If you answered -4
−4 has the sign wrong.

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