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Linear Inequalities — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLinear Inequalities1 Mark
MCQ
If $|\text{x}+3|\geq10,$ then:
  • A
    $\text{x}\in(-12,7]$
  • B
    $\text{x}\in(-13,7)$
  • C
    $\text{x}\in(\infty,-13)\cup(7,\infty)$
  • ✓
    $\text{x}\in(-\infty,-13]\cup[7,\infty)$
✓

Answer

Correct option: D.
$\text{x}\in(-\infty,-13]\cup[7,\infty)$
$|\text{x}+3|\geq10$
$\Rightarrow\text{x}+3\geq10$ or $\text{x}+3;\leq-10$
$\Rightarrow\text{x}\geq10-3$ or $\text{x}\leq-10-3$
$\Rightarrow\text{x}\geq7$ or $\text{x}\leq-13$
$\Rightarrow\text{x}\in(-\infty,-13)\cup[7,\infty)$

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