Posted by **Jackie C** on Friday, January 11, 2013 at 12:35pm.

Solve each inequality algebraically:how do I solve this problem? What is the answer? Show the work.

x+4/x-2 less than equal 1 thanks for your help

- Algebra -
**Steve**, Friday, January 11, 2013 at 1:46pm
(x+4)/(x-2) <= 1

If x-2>0, then

x+4 <= x-2

4 < -2

no solutions there

If x-2 < 0,

x+4 >= x-2

4 >= -2

so all x's are a solution. But our condition was that x-2 < 0, so

**x < 2**

Makes sense, since there is a horizontal asymptote at y = 1 and a vertical asymptote at x = 2

- Algebra -
**Clement**, Friday, January 11, 2013 at 1:58pm
6 is less than equal 0

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