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

Algebra ->  Inequalities -> SOLUTION: express in the terms of absolute value of the inequality 7 < x < 15      Log On


   

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) About Me  (Show Source):
Answer by ikleyn(52777) About Me  (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 = %287%2B15%29%2F2 = 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.