Chapter 3.5, Problem 11AYU

$x^2\text{ − 9 < 0}$

To determine

To find: The solution of the inequality $x^2-9<0$.

Answer to Problem 11AYU

Solution:

$-3<x<3$

Explanation of Solution

Given:

The inequality is $x^2-9<0$

Calculation:

$x^2-9<0$

$\left(x+3\right)\left(x-3\right)<0$

$\left(x+3\right)>0$ and $\left(x-3\right)<0$

$x>-3$ and $x<3$

Therefore the solution to the given inequality is $-3<x<3$.