Post a New Question

pre cal

posted by on .

solve the inequality express your solution in interval notation
(x - 4)^2/ (x -6) (x + 6) > 0 Help me!

  • pre cal - ,

    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 - ,

    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 - ,

    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 - ,

    exactly it is what I thought but it does not match her answer sheet so she counts it wrong.

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question