If $2 | 3 x + 9 | < 36$ , then the number of integral values of $x$ is

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Solution

$2 | 3 x + 9 | < 36 \Rightarrow | 3 x + 9 | < 18 \Rightarrow - 18 < 3 x + 9 < 18 \Rightarrow - 27 < 3 x < 9 \Rightarrow - 9 < x < 3 \Rightarrow x \in (- 9, 3)$
Number of integral values $= 11$

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