Solving Quadratic Inequalities By Graphing and Algebra

In this video, we will explore how to solve quadratic inequalities using two different methods: graphing and algebraic approaches. I demonstrate how to solve many quadratic inequalities.
by analyzing the graph of the quadratic function and applying test points for accuracy.
Then, we break down how to factor the quadratic expression and determine the solution intervals algebraically.

You'll also learn how to use test points effectively and understand how to represent solution sets for inequalities using interval notation. The video emphasizes both graphical intuition and algebraic rigor, providing a comprehensive guide to mastering quadratic inequalities.

What You Will Learn:

How to solve quadratic inequalities by graphing.
How to solve quadratic inequalities using algebraic methods.
How to interpret solution sets using test points.
How to write solutions in interval notation.
Tips for factoring quadratics when solving inequalities.
If you find this video helpful, please consider subscribing, liking, sharing, and leaving a comment! Feel free to share this video with teachers, parents, or anyone who might find it useful.

#patrickjmt #quadraticinequalities #solvinginequalities #factoringquadratics #graphingquadratics #testpoints #intervalnotation #mathhelp #algebra #algebratutorials #mathvideos

[patrickjmt]

I started remaking some videos and this one turned into a full on lecture. Tons of useful stuff for those of you taking algebra! Please thumbs up, share, comment, etc :)

[federicoguerrera]

Great content, as always.
Thank you, Patrick, I hope your channel will start receiving again the attention it deserves.

[LongTrout]

You are still here. You are a great teacher. You couldn't save me but you made my struggle with math much less severe and got me almost through Calc 2....That is pretty good for an Ape like me...I have never met you but have an intense love for you and what you do.

[Rohitchauhan-gykh]

hello sir
good morning
this is Rohit Chauhan and I am from India.
I used to watch your short lecture videos of linear and algebra during my graduation and during my masters I used to cover fourier series and all .
right now I am preparing for phd
sir, is it possible to talk to you because I also want to share my knowledge of higher mathematics to many students
how can I contribute
please guide me sir
and thankyou very much for helping during my graduation and masters

[toaster]

I've always thought that using test points for a quadratic inequality was a waste of time if you know which way it opens and understand what the graph looks like. For instance when solving x²-4<0 just observe the x intercepts at 2 and -2 and since the parabola opens upwards it will be less than 0 only between those values.

[artoursad]

great video!
may i ask which app do you draw on in your videos?

[nurreproductions]

Watching you till 2018, i can sew you changed the recording style, longlife teacher