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

Elleanor Mckenzie

Elleanor Mckenzie

Answered question

2021-01-04

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

Answer & Explanation

tafzijdeq

tafzijdeq

Skilled2021-01-05Added 92 answers

Step 1
Find the mid point of the interval (0,8) of the form (a, b).
Midpoint of the interval (0,8)=0+82=4
Step 2
The absolute value using the variable x is expressed in terms of an inequality.
|x4|<ba2
<802
<4
|x4|<4 is the absolute value where, 4<(x4)<4, implies
4+4<x<4+4 which is the given interval (0,8).

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-14Added 2605 answers

Answer is given below (on video)

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