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Linear Inequalities — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLinear Inequalities1 Mark
MCQ
The solution set of the inequation $|\text{x}+2|\leq5$ is:
  • A
    $(-7, 5)$
  • ✓
    $[-7, 3]$
  • C
    $[-5, 5]$
  • D
    $(-7, 3)$
✓

Answer

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

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