EgmatQuantExpert wrote:

Wavy Line Method Application - Exercise Question #5Find the range of values of x that satisfy the inequality \(\frac{(x^2-4)}{(x-5)(x^2-9)} < 0\)

Wavy Line Method Application has been explained in detail in the following post::

http://gmatclub.com/forum/wavy-line-method-application-complex-algebraic-inequalities-224319.htmlDetailed solution will be posted soon.

Inequality is \(\frac{(x^2-4)}{(x-5)(x^2-9)} < 0\)

it can be written as \(\frac{(x-2)(x+2)}{(x-5)(x-3)(x+3)} < 0\)

So, we have the Zero pints of x as -3,-2,2,3 and 5

But We cannot have x = -3,3 or 5.

So, when drawing these values on the number line, we will get the range of x as

(-infinity,-3)U(-2,2)U(3,5)

Please correct me if I am missing anything.

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