Question

Solving this rational inequality: (x - 7)^2/(x^2 + 9) > 0
how do you go about doing this? I think the answer is {x|x≠7} but I can't remember the steps.

Answer 1

http://gyazo.com/2b174ca862572c652895bfd7fb990c51 It looks like this

Answer 2

The numerator is positive for all values of x; likewise the denominator. Therefore, the entire expression is always > 0.

Answer 3

I know that, I'm just not sure how to go about solving it

Answer 4

Well, since the expression is true for all real x, the solution is all real x. You already had the solution!