Question

Mark the correct alternative in each of the following:
The linear inequality representing the solution set given in Fig. 15.44 is
(a) $\left|x\right|$$<$5
(b) $\left|x\right|$$>$5
(c) $\left|x\right|$$\ge$5
(d) $\left|x\right|$$\le$5

Answer 1

As according to the graph,

$$\begin{gathered} x\mathrm{lies}\mathrm{between}(-\infty ,-5]\mathrm{and}[5,\infty ) \\ \Rightarrow x\ge 5\mathrm{or}x\le -5 \\ \Rightarrow \left|x\right|\ge 5 \end{gathered}$$

Hence, the correct option is (c).