# Express the interval(0, 8)in terms of an inequality involving absolute value. (Use the variable x to describe the interval.)

Express the interval (0, 8) in terms of an inequality involving absolute value. (Use the variable x to describe the interval.)
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Step 1
Find the mid point of the interval (0,8) of the form (a, b).
Midpoint of the interval $\left(0,8\right)=\frac{0+8}{2}=4$
Step 2
The absolute value using the variable x is expressed in terms of an inequality.
$|x-4|<\frac{b-a}{2}$
$<\frac{8-0}{2}$
$<4$
$|x-4|<4$ is the absolute value where, $-4<\left(x-4\right)<4$, implies
$-4+4 which is the given interval (0,8).

Jeffrey Jordon