How to Solve & Graph a Rational Inequality with Quadratics in the Numerator & Denominator | Tutorial

[gontagonta]

I enjoyed your video so much.
Thank you.

[engjayah]

It is more logical if we could show the sign of numerator is always positive rather than simply ignoring.
i.e. x^2 + x + 6 = (x+1/2)^2 +23/4 > 0
Secondly, in order to achieve positive value for denominator, either both x - 3 and x + 3 need to be positive or both negative.
if both positive then x > 3 and if both negative x < -3