Question
The linear inequality representing the solution set given in Fig. is:
  1. $\text{|x|}<5$
  2. $\text{|x|}>5$
  3. $\text{|x|}\geq5$
  4. $\text{|x|}\geq5$

Answer

  1. $\text{x}\in[-11,7]$

Solution:

As according to the graph,

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

$\Rightarrow\text{x}\geq5$ or $\text{x}\leq-5$

$\Rightarrow|\text{x}|\geq5$

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