Posted by amy on Thursday, December 8, 2011 at 5:25pm.
solve the inequality express your solution in interval notation
(x  4)^2/ (x 6) (x + 6) > 0 Help me!

pre cal  Reiny, Thursday, December 8, 2011 at 5:57pm
critical values of x are
x = 4, 6 and 6
Pick any x in the sections of the number line marked by these values
We don not have to do the actual calculation , just consider what happens to the signs
x < 6, say x=10
+/ > 0 good
x between 6 and 4, say x=0
+/ + < 0 NO
x between 4 and 6 , say x=5
+/ + <0 , NO
x > 6, say x=10
+/+ + > 0, good
so x < 6 or x > 6
Wolfram shows the graph and illustrates my solution is correct
http://www.wolframalpha.com/input/?i=%28x++4%29%5E2%2F+%28x+6%29+%28x+%2B+6%29+%3Dy

pre cal  amy, Thursday, December 8, 2011 at 6:17pm
Thanks I can do it that way but she counts it wrong. That is the answer I got. She wants it in interval notation.

pre cal  Reiny, Thursday, December 8, 2011 at 6:30pm
Oh my!
That would be expressing it in a different form, I think it would be something like
(∞ , 6) or (6,∞)
x < 6 or x > 6 says the same thing in a different way, but it certainly is not "wrong".

pre cal  amy, Sunday, December 11, 2011 at 2:03pm
exactly it is what I thought but it does not match her answer sheet so she counts it wrong.
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