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Absolute Value Function

Number of val...

Question

Number of value(s) of $x$ satisfying the equation $6 | x - 2 | - 15 = - 9 | x - 2 | + 15$ is

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Solution

$6 | x - 2 | - 15 = - 9 | x - 2 | + 15 \Rightarrow 15 | x - 2 | = 30 \Rightarrow | x - 2 | = 2 \Rightarrow x - 2 = \pm 2 \Rightarrow x = 4, 0$

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