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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