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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
    $\text{x}\in(-13,7\big)$
  • B
    $\text{x}\in(-13,7\big]$
  • C
    $\text{x}\in(-\infty -13\big]\cup \big[7,\infty)$
  • ✓
    $\text{x}\in\big[-\infty -13\big]\cup \big[7,\infty)$
✓

Answer

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

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