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Absolute Value Function

Number of val...

Question

Number of value(s) of $x$ satisfying the equation $| | 2 x - 7 | - 3 | = 12$ is

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Solution

$| 2 x - 7 | - 3 = 12, - 12 \Rightarrow | 2 x - 7 | = 15, - 9 \Rightarrow 2 x - 7 = 15, - 15 or | 2 x - 7 | = - 9 No solution \Rightarrow x = 11, - 4$

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