Free Practice Question
PS · Problem Solving
505-555
Inequalities
Determine the number of integers n that satisfy the inequality 2 < 4n + 6 < 30.
Answer Choices
Correct answer marked belowSix
Correct
B
Five
C
Four
D
Three
E
Two
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Explanation
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Official Explanation
Official
We need to find how many integers n satisfy the inequality 2 < 4n + 6 < 30. First, we subtract 6 from all parts: 2 - 6 < 4n < 30 - 6, which simplifies to -4…
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Comments
2
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J
JinsolDec 24, 2024
thanks!
C
ChahatOct 25, 2024
cheers!
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
505-555
Type
PS
Category