If |x−1| x - 1 > 5, then: - Vidyadip

MCQ

If |x−1| x - 1 > 5, then:

A
$\text{x}\in(-4,6)$
B
$\text{x}\in[-4,6]$
C
$\text{x}\in(-\infty,-4)\cup(6,\infty)$
D
$\text{x}\in(-\infty,-4)\cup[6,\infty)$

✓

Answer

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

Solution:

|x−1| > 5

⇒ x − 1 > 5 or x − 1 < −5

⇒ x > 5 + 1 or x < −5 + 1

⇒ x > 6 or x < −4

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

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