Mark the correct alternative in each of the following:

Question:

Mark the correct alternative in each of the following:

The linear inequality representing the solution set given in Fig. 15.44 is

(a) $|x|<5$

(b) $|x|>5$

(c) $|x| \geq 5$

(d) $|x| \leq 5$

Solution:

As according to the graph,

$x$ lies between $(-\infty,-5]$ and $[5, \infty)$

$\Rightarrow x \geq 5$ or $x \leq-5$

$\Rightarrow|x| \geq 5$

Hence, the correct option is (c).