SOLUTION: x-6/x+2<-1 how do you solve and graph this inequality?

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Question 159777: x-6/x+2<-1 how do you solve and graph this inequality?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
x-6/x+2 < -1 how do you solve and graph this inequality?
:
Assume you mean (brackets are wonderful devices)
%28%28x-6%29%29%2F%28%28x%2B2%29%29 < -1
:
Multiply both sides by (x+2), results
x - 6 < -1(x+2)
:
x - 6 < -x - 2
:
x + x < -2 + 6
:
2x < 4
x < 4%2F2
x < 2
:
:
Check it with a value slightly less than 2, x = 1.8
%28%281.8-6%29%29%2F%28%281.8%2B2%29%29 < -1
%28-4.2%29%2F3.8 < -1
-1.1 < -1; is true
:
Graphing this:
x | y
---------
-10|+3
-6 |+4
-3 |+10
-2 | no value here, division by 0 in the original equation
-1 |-6
0 |-2
+2 | 0
+3 |.4
+6 | 1
+8 |+1.2
+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+%28%28x-6%29%2F%28x%2B2%29%29%2B1+%29+
Ignore the area between -1 and -3
The area for this equation is below the line