Question

graph the solution of |x-2|>8

Answer 1

We need to solve the inequality:

$|x-2|>8$

Since there is a absolute value operator, we can rewrite the inequality as:

$\begin{gathered} x-2<8 \\ x-2<-8 \end{gathered}$

We can now solve both equations to find the interval.

$\begin{gathered} x>8+2 \\ x<10 \\ x>-8+2 \\ x>-6 \end{gathered}$

The interval is:

[tex]-6We can now graph this inequation.