16Hit 1600
AlgebraEasy–MediumSmallest integer satisfying an inequality

Algebra practice question

What is the smallest integer x for which 4x − 9 > 10?

Answer: 5

4x > 19 gives x > 4.75; the smallest integer beyond 4.75 is 5.

Common wrong answers

If you answered 4
x = 4 gives 4(4) − 9 = 7, which is not greater than 10.
If you answered 6
6 works, but 5 already satisfies 4(5) − 9 = 11 > 10.
If you answered 4.75
4.75 is the exact bound, but the question asks for the smallest integer above it.

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