Proof: A Useful Absolute Value Inequality | Real Analysis

[@WrathofMath]

Support the production of this course by joining Wrath of Math to access exclusive and early videos, original music, plus the real analysis lecture notes at the premium tier! kzbin.info/door/yEKvaxi8mt9FMc62MHcliwjoin Real Analysis course: kzbin.info/aero/PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli Real Analysis exercises: kzbin.info/aero/PLztBpqftvzxXAN05Gm3iNmpz9SkVfLNqC

[@alexadinolfi6038]

I'm taking real analysis this semester and I think this channel is going to be super helpful. Gotta say this was probably the most straightforward explanation of the proof of this theorem I've seen, it's very easy to understand. I have a feeling I'll be spending a lot of time watching your videos this semester. Keep up the good work!

[@ProofCare]

Finally found a good video explaining absolute value inequality!🙏 From India

[@WrathofMath]

Glad it helped! Thanks for watching!

[@existentialrap521]

This is a certified hood CLASSIC. Gonna be bumpin this proof a lot

[@bobmarley9905]

bruh 😂

[@existentialrap521]

@@bobmarley9905 We survived. Barely. Advanced Calc I beat my ass. Good stuff tho. I liked it. Challenged me af. First real proof course.

[@minalidharmasena5764]

you are explaining it so clearly sir...thank you so much

[@WrathofMath]

So glad it helped, thanks for watching! If you're looking for more analysis, check out my playlist! kzbin.info/aero/PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli

[@thedadbrains]

Thank you so much, these videos are literally life saving.

[@hz6612]

Thank you so much !!! you gave a really great explanation !!

[@WrathofMath]

Glad it was helpful!

[@mouradbouderbala4709]

Greetings from Algeria, thanks for the effort. I hope your creativity continues

[@Justamemekid959]

Brilliant... Thanks for this... Keep it up Sir!

[@WrathofMath]

Thank you, I will! Thanks for watching and let me know if you ever have any video requests. If you're looking for more analysis, check out my playlist! kzbin.info/aero/PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli

[@Sukmato]

The ending music on every single video is lit🔥

[@killuaenthusiast]

Thank you! This is so helpful.

[@WrathofMath]

Glad to hear it! Lots more real analysis lessons coming, let me know if you ever have any video requests!

[@RealEverythingComputers]

Great video thanks!

[@WrathofMath]

Thanks for watching!

[@martinperu6207]

Thank.. What book of Mathematics for basic in proof and real analysis?

[@user-dp9yn7zf4l]

The video helps me realize I been using it without knowing the proof

[@tuptge]

Thanks, excelent video and presentation!

[@dynamix9916]

2:02 Finally, it gets into the proof.

[@AyandaMakhetha]

I'm just studying for algebra😭 non too crazy yet, thanks for this!

[@WrathofMath]

Happy to help!

[@nobirapals974]

*sigh* I use the second direction to prove first direction and got confused on what to do next lol. silly me. thank you for the cool vid!

[@nobirapals974]

oh, and I just want to make sure -|a|

[@WrathofMath]

Thanks for watching! -|a|

[@nobirapals974]

@@WrathofMath ah i see, thank you so much! you earn yourself a new subscriber :)

[@baijokull]

Think I might be watching at least 76 more of your videos if I'm going to pass this class :D

[@WrathofMath]

Good luck! Let me know if you have any questions, there is still a lot I need to add to this Real Analysis playlist but it will definitely help you for a bit!

[@janosmarton7895]

You should consider ASMR discrete maths explanation videos ":D your jokes are killing me :D

[@monikanarayan5820]

Your videos are very helpful. Can you please tell me the textbook that you refer to?

[@WrathofMath]

I'm glad they've been helpful, thanks for watching! I don't know if I refer to a specific textbook in this video, but I am crafting my Real Analysis playlist primarily following three textbooks. Be sure to check out the playlist if you haven't many more lesson to come: kzbin.info/aero/PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli Here are the textbooks, in order of importance to me: Real Analysis by Jay Cummings Understanding Analysis by Stephen Abbott A Friendly Introduction to Analysis by Kosmala

[@ARABELAFRATEA]

Hello,You are doing a great job! Can we hope for some videos explaining measure theory and complex analysis? Thanks a lot!

[@WrathofMath]

Thank you! Yes, but it will be some time before I get to that. Current focuses are Real Analysis, Abstract Algebra, and Graph Theory. And I teach two courses of Calculus, so I do that a lot just because.

[@kelvinthehuman]

Amazing. Hope we all find a way to pay you well, buddie. for what you're doing. This is a great contribution to education, it helps keeping a nice academic atmosphere. Thanks a lot.@@WrathofMath

[@mahmoudalbahar1641]

Many thanks for this good video.

[@mat-on-go8644]

i have a video request for this question 4|x| < 7x − 6. thank you

[@bethelyemane6578]

can some one explain it easily am not getting it,??

[@danielrocha2521]

thank you! how can we prove this by contradiction doe

[@krishkaru1100]

Thank you so much❤

[@WrathofMath]

Glad to help - thanks for watching!

[@سارهداودسلمانأحمد]

Hello sir, how can I prove that |a|

[@WrathofMath]

Thanks for watching, and you cannot prove that - consider any negative value of a for a counterexample.

[@hanaalhomrani7040]

Thank you it was helpful

[@WrathofMath]

Glad to hear it, thanks for watching!

[@jrtthamasha7306]

Thankyou Sir🥰

[@WrathofMath]

Glad to help!

[@benjaminhogan3157]

Is this proof the same for a strict less than inequality? Thx

[@WrathofMath]

Yes indeed!

[@vickimazur8]

| x - r | < 1/n with r in reals, n in naturals and r in rationals?

[@mat-on-go8644]

hi thank you for the solution

[@isurudilshan7172]

thank u very much

[@WrathofMath]

My pleasure, thanks for watching!

[@HafeniShitaku]

Other examples

[@ezenaboifeyinwa]

Please solve 🙏 |x| + |x+1| + |1-x|

[@maxpercer7119]

i see a chessboard, do you teach chess theory?

[@cheatyhotbeef2636]

I just stumbed upon this video, so I'm not doing real analysis

[@thatpilotguy4995]

Geez, stop bouncing all over the place. Just stand still. Gave me a headache

[@documentemail7299]

Why we can't do case work in first part of proof? Can't we start with-|a|

[@jeremiahv6498]

Why is this question not answered? It's been a year.

[@agustincai]

@@jeremiahv6498 did you get the answer?