# Absolute value inequality

• Sep 18th 2009, 07:57 PM
skeeterrr
Absolute value inequality
Hey there, my first post here. Anyway, I need to solve this inequality by giving an interval notation.

Here is the question:

|2/x - 3| < 5

the denominator x is just throwing me off =S

Any hints or insights would be greatly appreciated!
• Sep 18th 2009, 07:59 PM
VonNemo19
Quote:

Originally Posted by skeeterrr
Hey there, my first post here. Anyway, I need to solve this inequality by giving an interval notation.

Here is the question:

|2/x - 3| < 5

the denominator x is just throwing me off =S

Any hints or insights would be greatly appreciated!

Hint:

When you take reciprocals in an inequality, the signs reverse...
• Sep 19th 2009, 03:45 PM
skeeterrr
Quote:

Originally Posted by VonNemo19
Hint:

When you take reciprocals in an inequality, the signs reverse...

I solved it but I didn't take the reciprocal...

I took the domain of the inequality and everything else was straightforward.

Thanks!