SOLUTION: solve x-4/x+5 >=3 Textbook Beecher, penna and bittinger practice problems thank you very much

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Question 145440: solve x-4/x+5 >=3
Textbook Beecher, penna and bittinger
practice problems
thank you very much
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(x-4)/(x+5)>=3
x cannot be -5 because the denominator would be 0. The vertical asymptote is -5.
(x-4)/(x+5)=3
x-4=3x+15 turn the inequality into an equation.
2x=-19
x=-9.5
Now we look at a graph of x-4/x+5 and find out where it is equal to or greater than 3.
We see that the only area where y>=3 is where -9.5<=x<-5 or x[-9.5,-5) ans.
When x>0 y<1
The horizontal asymptote is 1.
.
Ed
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graph%28500%2C500%2C-15%2C10%2C-5%2C5%2C%28x-4%29%2F%28x%2B5%29%29