Free Practice Question
PS · Problem Solving
sub-505
Absolute Values/Modules
Solve for x in the equation |x - 3| = 3|x - 3|.
Answer Choices
Correct answer marked belowA
-3
B
0
3
Correct
D
6
E
9
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Explanation
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Official Explanation
Official
We start with the equation |x - 3| = 3|x - 3|. Rearranging gives us 0 = 3|x - 3| - |x - 3|, which simplifies to…
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Comments
2
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K
kimayaSep 9, 2024
Thank for sharing!
W
WayneJun 10, 2024
thanks for the answer
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
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TopicGMAT Quantitative Reasoning
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Difficulty
sub-505
Type
PS
Category