SOLUTION: express in the terms of absolute value of the inequality 7 < x < 15

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Question 1084300: express in the terms of absolute value of the inequality 7 < x < 15
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!


So,
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
express in the terms of absolute value of the inequality 7 < x < 15
~~~~~~~~~~~~~~~~~~~~ 

Let "c" be the midpoint between 7 and 15: c =  = 11, and 

let "d" be the distance from this midpoint to either endpoint: d = 15 - c = c - 7 = 4.


Then your inequality is 

|x - c| < d,   or   |x - 7| < 4.


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