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!

Quote:

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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!

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Hint:

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

Quote:

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Originally Posted by VonNemo19

Hint:

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

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

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

Thanks!