Question

Mark the correct alternative in each of the following:
The linear inequality representing the solution set given in

Options

• \[\left| x \right|\]\[<\]5

• \[\left| x \right|\]\[>\]5

• \[\left| x \right|\]\[\geq\]5

• \[\left| x \right|\]\[\leq\]5 

   

Answer 1

As according to the graph,

\[x \text{ lies between }( - \infty , - 5] \text{ and } [5, \infty )\]
\[ \Rightarrow x \geq 5 \text{ or } x \leq - 5\]
\[ \Rightarrow \left| x \right| \geq 5\]

Hence, the correct option is (c).