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Linear Inequalities — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLinear Inequalities1 Mark
MCQ
The linear inequality representing the solution set given in Fig. is:
  • A
    $\text{|x|}<5$
  • B
    $\text{|x|}>5$
  • ✓
    $\text{|x|}\geq5$
  • D
    $\text{|x|}\geq5$
✓

Answer

Correct option: C.
$\text{|x|}\geq5$
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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