Free Practice Question
PS · Problem Solving
505-555
Absolute Values/Modules
What are the complete set of solutions for the inequality |b + 5| < 8?
Answer Choices
Correct answer marked belowA
b < 3
B
b > -13
3 > b > -13
Correct
D
-13 > b > 3
E
b > 13 or b < -13
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Explanation
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Official Explanation
Official
To solve the inequality |b + 5| < 8, we start by rewriting it as -8 < b + 5 < 8. By subtracting 5 from all…
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Comments
2
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S
shashankJul 10, 2024
thanks!
D
DharunMay 5, 2024
appreciated!
What this question tests
What it tests
Your ability to solve absolute-value equations and inequalities by considering both cases.
Common trap
Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.
Related GMAT Topic Guides
Quant
TopicGMAT Quantitative Reasoning
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Difficulty
505-555
Type
PS
Category