Advanced Functions 5.5 Solving Rational Inequalities

Using graphing, number lines or interval tables we can solve rational inequalities. Be sure not to simply cross multiply for these equations or you may be eliminating some of your solution.

[lemontart]

can we solve it by multiplying both sides by the denominator squared(we know for sure its positive cuz its a square)
and then treat it like a quadratic inequality with restrictions?

[reading-_____-]

Thank you for the wonderful videos! I have one question, for number (5f) shown in the video, how did you know that the function would not cross the HA for sections 1 and 3? (I usually plug in a large value for x to find out, but is there a quicker method?) Thank you for your time!

[gheedwattar]

Hi Ms.Havrot, if we are asked to solve an inequality then graph it, do we have to draw ONLY the values under zero?

[tinted]

this video REALLY helped me, thank you so much, My final exam is tomorrow :)

[ShivayshKumar]

Hello Ms.Havrot! Thanks for uploading these, as preparing for grade 12 has been incredibly swift as they are so organized and detailed! I just had a question about the first example you showed us in this video. Couldn't the solution for the first question be: (-infinity, 0) U (0, 5) U (5.2, infinity) as that would be more specific to the fact that the inequality can be lesser than y=0, but not equal to it?

[nvibin]

Do you acc need to know the horizontal asymptote for this?

[tns_lover]

When solving interqualites what is the best way (easier way to look at it) I have a test in 2 days and I wanted to make sure that I understand how to do it