SOLUTION: Write an absolute value inequality that has 3 and -5 as two of its solutions.

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Question 943367: Write an absolute value inequality that has 3 and -5 as two of its solutions.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
This problem has many answers because inequalities
have infinitely many solutions.

The easiest one is 

    |x| > 1

which breaks into two inequalities:

x > 1,   -x > 1

Solve the second one for x by dividing both sides by -1
which will reverse the inequality:

x > 1,    x < -1

That has solution

<==================o-----o==================>
-7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7

(-∞,-1)U(1,∞)

which contains both 3 and -5 as two of its infinitely
many solutions.

Edwin