Free Practice Question
PS · Problem Solving
555-605
Inequalities
Determine the number of integer values for x in the inequality 5 < 9 - 3x < 15.
Answer Choices
Correct answer marked belowA
7
B
5
3
Correct
D
2
E
1
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Explanation
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Official Explanation
Official
To solve the inequality 5 < 9 - 3x < 15, we can break it into two parts. First, consider the left side: 5 < 9 - 3x. Rearranging gives us -3x > -4, which simplifies to x < 1.33. Now, for the right side: 9 - 3x < 15.…
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Comments
2
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R
RishabhMay 1, 2024
greatt question!
B
BelénMar 9, 2025
Thank you very much!
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