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Linear Inequations — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLinear Inequations1 Mark
MCQ
If $\frac{|\text{x}-2|}{\text{x}-2}\geq0,$ then :
  • A
    $\text{x}\in[2,\infty)$
  • ✓
    $\text{x}\in(2,\infty)$
  • C
    $\text{x}\in(-\infty,2)$
  • D
    $\text{x}\in(-\infty,2]$
✓

Answer

Correct option: B.
$\text{x}\in(2,\infty)$
$|\text{x}+2|\leq5$
$\Rightarrow-5\leq\text{x}+2\leq5$
$\Rightarrow-5-2\leq\text{x}+2-2\leq5-2$
$\Rightarrow-7\leq\text{x}\leq3$
$\Rightarrow\text{x}\in[-7,3]$
$\text{x}\in(2,\infty)$

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