Free Practice Question
PS · Problem Solving
555-605
Inequalities
How many integers fulfill the inequality x^2 < 8x?
Answer Choices
Correct answer marked belowA
4
B
5
C
6
7
Correct
E
8
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Explanation
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Official Explanation
Official
We start with the inequality . Rearranging gives us . This can be factored as . The critical points are and or , which is not possible. For the…
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Comments
2
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A
AyushiSep 26, 2024
Tricky wording but good practice
L
LFeb 12, 2025
thanks
What this question tests
What it tests
Your ability to solve and combine linear inequalities and reason about ranges of values.
Common trap
Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.
Details
Difficulty
555-605
Type
PS
Category