[tex](-\infty,-3\rbrack\cup\lbrack3,\infty)[/tex]
Explanation
[tex]\begin{gathered} x^2\ge9 \\ \end{gathered}[/tex]
An absolute value function is a function that contains an algebraic expression within absolute value symbols. Recall that the absolute value of a number is its distance from 0 on the number line
Step 1
solve the inequality
[tex]\begin{gathered} x^2\ge9 \\ \text{square root in both sides} \\ \sqrt{x^2}\ge\sqrt{9} \\ x\ge\pm3 \\ so \\ \lvert x\rvert\ge3 \\ \text{two cases} \\ x\ge3\text{ and x}\leq-3 \end{gathered}[/tex]
so, in intervals
[tex](-\infty,-3\rbrack\cup\lbrack3,\infty)[/tex]
Step 2
graph the solution
[tex](-\infty,-3\rbrack\cup\lbrack3,\infty)[/tex]
I hope this helps you
