Free Practice Question
PS · Problem Solving
505-555
Absolute Values/Modules
If 3|3 – x| = 6, what is the sum of all the possible values for x?
Answer Choices
Correct answer marked belowA
1
B
3
C
4
D
5
6
Correct
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Explanation
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Official Explanation
Official
To solve the equation 3|3 - x| = 6, we first divide both sides by 3 to simplify: |3 - x| = 2. This leads to two cases: either 3 - x = 2 or 3…
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Comments
2
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C
chungSep 13, 2024
still struggling with these types of problems
B
BhaskarApr 28, 2024
Thank you very much!
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
All Quant guidesDetails
Difficulty
505-555
Type
PS
Category