The number of integral values of $x$ satisfying the inequality $| x | < 5$ is

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Solution

Given linear inequality as
$| x | < 5 \forall x \in R .$
Now, we know
$| x | < a & a > 0 then$
$\Rightarrow x \in (- a, a) \forall x, a \in R$
$\Rightarrow | x | < 5$
$\Rightarrow x \in (- 5, 5)$
Thus, the number of integral values in this interval are $= 9.$

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