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Linear Inequalities — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLinear Inequalities1 Mark
MCQ
If $|\text{x} – 1| > 5$ then:
  • A
    $\text{x}\in(-4,6)$
  • B
    $\text{x}\in\big[-4,6\big]$
  • ✓
    $\text{x}\in(-\infty,-4)\cup(6,\infty)$
  • D
    $\text{x}\in\big[-\infty,-4)\cup\big[6,\infty)$
✓

Answer

Correct option: C.
$\text{x}\in(-\infty,-4)\cup(6,\infty)$
$|\text{x} – 1| > 5$
$\text{x} – 1 < - 5 $ and $\text{x} – 1 > - 5 $
$\text{x} < -4 $ and $\text{x} > 6 $
$\therefore\text{x}\in(-\infty,-4)\cup(6,\infty)$

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