MCQ
If $|\text{x} – 1| > 5$ then:
  • A
    $\text{x}\in(-4,6)$
  • B
    $\text{x}\in\big[-4,6\big]$
  • C
    $\text{x}\in(-\infty,-4)\cup(6,\infty)$
  • D
    $\text{x}\in\big[-\infty,-4)\cup\big[6,\infty)$

Answer

  1. $\text{x}\in(-\infty,-4)\cup(6,\infty)$

Solution:

$|\text{x} – 1| > 5$

$\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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