pre cal

posted by .

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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. pre-calculus

    please help me with thisone thanks solve the inequality algebraically. Express the solution in interval notation. (x-8)^2/x^2-36 > 0
  2. Solve Inequality

    Solve the inequality. Express your solution using interval notation and please show all of your work. x(x + 6)(8 – x) >= 0 I need help, I guess I'm not understanding the interval notation portion. I know, that when 0 <= x <= …
  3. precalculus

    solve the inequality express your solution using interval notation x^4-7x^3+12x^2<0
  4. Math

    Solve the inequality by first rewriting it as an equivalent inequality without absolute value bars. Express solution set using interval notation. | x+3 | +8 is less than or equal to 14 Thanks so much for helping me!
  5. Pre-Cal.

    Solve the following inequality . Write your solution in interval notations. x+3/x-3<0.
  6. Algebra

    Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation x^3+x^2+16x+16>0 What is the solution set?
  7. algebra

    Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation x^3+x^2+16x+16>0 What is the solution set?
  8. math/algebra

    Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation x^3+x^2+16x+16>0 What is the solution set?
  9. pre cal

    Solve the following inequality. Write the answer in interval notation. x^4>4x^2
  10. Math

    Solve each inequality and express the solution set in interval notation. a. 3 < |(x-3)/2| < 5 b. 5 ≥ |(x+2)/3| > 1 ans.: (a)(9,-3) (-7,13) (b) [-17,13] (1,-5)

More Similar Questions