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Absolute Value Function

Number of int...

Question

Number of integral values of $x$ such that $| 4 x + 15 | < 2$ is

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Solution

$| 4 x + 15 | < 2 \Rightarrow - 2 < 4 x + 15 < 2 \Rightarrow - \frac{17}{4} < x < - \frac{13}{4}$
$∴ x = - 4$

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