Free Practice Question
PS · Problem Solving
sub-505
Absolute Values/Modules
Given that |x + y| = |x - y|, what value must xy be equal to?
Answer Choices
Correct answer marked belowA
1
B
-1
0
Correct
D
3
E
-3
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Explanation
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Official Explanation
Official
If |x + y| = |x - y|, then we can square both sides: ; this leads to…
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Comments
2
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L
LangFeb 17, 2025
can you explain more?
R
RebeccaDec 9, 2024
Great
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
sub-505
Type
PS
Category