16Hit 1600
AlgebraVery hardRecovering a constant from a solution set

Algebra practice question

The solutions of the inequality 2(x − c) > 10 are exactly the values x > 9. What is the value of c?

Answer: 4

Dividing by 2: x − c > 5, so x > c + 5. Matching x > 9 gives c + 5 = 9, so c = 4.

Common wrong answers

If you answered 5
5 is the bound on x − c after dividing by 2; c itself is 9 − 5 = 4.
If you answered 9
9 is the boundary of the solution set; c sits 5 below it.
If you answered 14
14 adds instead of matching: the boundary satisfies c + 5 = 9.

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