Given that | 3x4y| = 1, what is the result of |3x| - |4y|?

Given that | 3x4y| = 1, what is the result of… | GMAT Sprint

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PS · Problem Solving

sub-505

Absolute Values/Modules

Given that $|\frac{3x}{4y}| = 1$ , what is the result of $|3x| - |4y|$ ?

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Explanation

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\frac{|3x|}{|4y|} = 1

. This implies that

|3x| = |4y|

.…

Comments

ChynnaOct 10, 2024

still struggling with these types of problems

NoahApr 5, 2025

Thank for sharing!

What this question tests

Your ability to solve absolute-value equations and inequalities by considering both cases.

Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.