# How do you solve and write the following in interval notation: (x+2)^2 <25?

Jan 8, 2017

(-7, 3)

#### Explanation:

${\left(x + 2\right)}^{2} < 25$
Take the square root of both sides:
$\left(x + 2\right) < \pm 5$
x < -2 - 5 --> x < - 7
x < - 2 + 5 --> x < 3
Answer by interval: (- 7, 3)
Graph on Number Line:

------------- - 7 ++++++++++++++ 0 ++++++ 3 ---------------------