Posted by **phyllys** on Friday, December 28, 2012 at 10:24am.

Solve the following inequality . Write your solution in interval notations. x+3/x-3<0.

- Pre-Cal. -
**Steve**, Friday, December 28, 2012 at 10:31am
since (x+3)/(x-3) = 1 + 6/(x-3)

1 + 6/(x-3) < 0

6/(x-3) < -1

if (x-3) > 0, that is, x > 3

6 < 3-x

x < -3

no good, since we specified x > 3

If (x-3) < 0, that is, x < 3

6 > 3-x

x > -3

so, the solution is (-3,3)

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