# How do you solve the inequality (x-1)^2 > 4 ?

Sep 16, 2015

$x > 3 \mathmr{and} x < - 1$

#### Explanation:

${\left(x - 1\right)}^{2} > 4$
Then for positive value of the root, $x - 1 > 2$
Implies x>3
For negative value of the root, inequality changes sign, so
$x - 1 < - 2$

Then either, $x > 3 \mathmr{and} x < - 1$