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).