# What is the solution to the inequality x^2 < 25?

Aug 29, 2015

Solve ${x}^{2} < 25$

Ans: (-5, 5)

#### Explanation:

Standard form: f(x) = x^2 - 25 < 0.
First solve x^2 - 25 = 0 --> x = +- 5
Use the algebraic method to solve f(x) < 0. Between the 2 real roots (-5) and (5), f(x) < 0, as opposite in sign to a = 1.
Answer by open interval: (-5, 5)