Posted by **c** on Friday, March 20, 2009 at 6:20pm.

solve the inequality

x+3/x-2 less then or equal to 0

- College Algebra/Inequalities -
**Damon**, Friday, March 20, 2009 at 7:14pm
suspect you mean

(x+3) / (x-2) </= 0

first let's look at the singularity when x = 2

when x is a little above 2 we have 5/+0

which is +oo

when x is a little below 2 we have 5/-0 which is -oo

so to the right of x = 2 it is +, no matter how big x gets

to the left of x = 2, it is -

until x = -3

then it is zero

to the left of x = -3, it is + again

SO

it is only - between x = -3 and x = 2

-3 </= x </= +2

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