Free Practice Question
PS · Problem Solving
655-705
Inequalities
What is the number of distinct integer values of n that meet the condition ||n-4| + 5| ≤ 13?
Answer Choices
Correct answer marked belowA
16
17
Correct
C
18
D
19
E
20
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Explanation
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Official Explanation
Official
The inequality ||n-4| + 5| ≤ 13 can be rewritten as -13 ≤ |n-4| + 5 ≤ 13. This simplifies to -13 - 5 ≤ |n-4| ≤ 13 - 5, which gives -18 ≤ |n-4| ≤ 8. The left part, -18 ≤ |n-4|, is redundant since the absolute value cannot be…
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S
ShivamAug 23, 2024
Thank for sharing!!!
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
655-705
Type
PS
Category