SOLUTION: How would I solve this inequality? and find the domain? 5/ |x+5|

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Question 946998: How would I solve this inequality? and find the domain?
5/ |x+5| > 5

THANKS!
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) (Show Source):
You can put this solution on YOUR website!
The absolute value is positive. Multiply it by both sides of the inequality.

Either x+5 is non-negative or x+5 is negative.
Continue with those. You do not pick which; you use BOTH separately.

Answer by MathTherapy(10557) (Show Source):
You can put this solution on YOUR website!

How would I solve this inequality? and find the domain?
5/ |x+5| > 5
THANKS!

, with
------ Multiplying by LCD,

Either: x + 5 < 1, or x + 5 > - 1
x + 5 < 1
x < 1 - 5
x < - 4
x + 5 > - 1
x > - 1 - 5
x > - 6
This means that the CRITICAL POINTS are: - 6, - 5, and - 4
If x < - 6, or x = - 7

(FALSE)
If - 6 < x < - 5, or x = - 5.5

10> 5 (TRUE)
If - 5 < x < - 4, or x = - 4.5

10 > 5 (TRUE)
If x > - 4, or x = 0

1 > 5 (FALSE)
Thus, the solution, in INTERVAL NOTATION is: (- 6, - 5) U (- 5, - 4)

SOLUTION: How would I solve this inequality? and find the domain? 5/ |x+5| > 5 THANKS!