The number of solutions of the equation $| 3 x | = | 4 x - 5 |$ is:

0

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1

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2

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3

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Solution

The correct option is B $2$
Given, $| 3 x | = | 4 x - 5 |$
$\Rightarrow \pm 3 x = 4 x - 5$
$\Rightarrow 3 x = 4 x - 5$ or $- 3 x = 4 x - 5$
$\Rightarrow x = 5$ or $x = \frac{5}{7}$
Hence, there are two solutions for the given equation.

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