SOLUTION: indicate the solution set of the inequality. 75. x-6/x+4 is greater than or equal to 0. I divided both sides by x+4 and I only got part of the answer. How do you get both parts

Algebra ->  College  -> Linear Algebra -> SOLUTION: indicate the solution set of the inequality. 75. x-6/x+4 is greater than or equal to 0. I divided both sides by x+4 and I only got part of the answer. How do you get both parts      Log On


   



Question 144413This question is from textbook College Algebra
: indicate the solution set of the inequality.
75. x-6/x+4 is greater than or equal to 0. I divided both sides by x+4 and I only got part of the answer. How do you get both parts? Please show me the steps.

This question is from textbook College Algebra

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(x-6)/(x+4)>=0
we know that x cannot be -4 because the denominator would be 0. The vertical asymptote of the graph is -4.
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When x<-4 then y>0
When -4%3Cx%3C6 then y<0
When x>=6 then y>=0
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X(-infinity,-4)U[6,infinity) Answer
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Ed
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graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%28%28x-6%29%2F%28x%2B4%29%29%29