Free Practice Question
PS · Problem Solving
505-555
Absolute Values/Modules
Which of the following inequalities is equivalent to −3 < x < 7?
Answer Choices
Correct answer marked below|x - 2| < 5
Correct
B
|x + 1| < 8
C
|x + 4| < 3
D
|x - 3| < 4
E
None of the above
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Explanation
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Official Explanation
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To find an equivalent inequality for −3 < x < 7, we first determine the midpoint between -3 and 7, which is 2. The distances…
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Comments
2
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N
NominMay 29, 2024
finally understood this
S
SongNov 30, 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