SOLUTION: What is the solution set of
x/x+9>0
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Question 205277: What is the solution set of
x/x+9>0
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
x/(x+9)>0
First we have to find the inflection points in this expression.
There is a vertical asymptote at x=-9 because division by zero is not allowed.
There is a horizontal asymptote at y=1 because x is 1st degree on the top and bottom.
.
Testing around the vertical asymptote and zero:
When is less than -9, y is always positive because the numerator and denominator are always both negative.
When x is more than -9 and less than zero then the expression is negative.
When x is greater than zero the expression is always positive.
.
X(-infinity, -9)U(0,infinity) The solution set.
.
Ed
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