Question

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

Answer 1

(-7, 3)

Explanation:

`(x + 2)^2 < 25`
Take the square root of both sides:
`(x + 2) < +- 5`
x < -2 - 5 --> x < - 7
x < - 2 + 5 --> x < 3
Answer by interval: (- 7, 3)
Graph on Number Line:

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