SOLUTION: ok the problem is 5/x is >= -1 i'm not sure how the book got the graph to long how it does i only get one section that is shaded and they have two

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Question 254931: ok the problem is 5/x is >= -1
i'm not sure how the book got the graph to long how it does
i only get one section that is shaded and they have two
Found 2 solutions by edjones, stanbon:
Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website!
5/x >= -1
.
This is a rational inequality.
We have to find the zeros of the numerator and undefined parts from the denominator.
5-5=0 so -5 is the zero of the numerator
when x=0 then the inequality is undefined.
.
Now we have to test on either side of -5 and x=0:
x=-6 5/-6=-5/6 which is >-1
x=-1 5/-1=-5 which is <-1
x=1 5/1=5 which is >-1
.
-5=>x>0 or (-infinity, -5] U (0.infinity)
.
Ed
.

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
ok the problem is 5/x is >= -1
i'm not sure how the book got the graph to long how it does
i only get one section that is shaded and they have two
-----------------------
Since "x" is a variable you don't know whether it is
positive or negative.
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If x>0 you get: 5/x >= -1
5 >= -x
x >= -5
But x>0, so the graph is the half-plane to the right of x = 0
---------------
But if x<0 you get 5/x >= -1
5<=-x
x <= -5
So this part of the graph is the half-plane to the left of x = -5
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Cheers,
Stan H.