Direct Image of Union of Sets Proof: f(A U B) = f(A) U f(B) 

Now that I know how to do it, I feel really stupid for not getting there on my own. You helped me a lot. Thanks!

Who else is here in 2020?? Thanks from Mexico, Math Sorcerer! :D

man singlehandedly saving me from failing algebra, thank you

Yes there is someone out there who needed this...thanks wholeheartedly for this!!

Greetings from Germany :) Thanks so much for the video. It helped me a lot with my first homework at university!!!

Wow you help me a lot with my homework Thank you :))

What is the software you re using with the black background and fluorescent markers? Thanks!

Thanks, from Brazil

Thank you very much, from Russia, Novosibirsk State University

thank you so much sir ...send the more video about real analysis sir

thank you so much !! , you're really good at explaining.

I am indian but this videos are very helpful

Why am I not done at 3:50 ?? I just don´t get it. Can someone help me out?

How to prove any function as injective if it's inverse is given?

thnks from algeria

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Thanks from Hong Kong

thank youuu 🙏🏽🙏🏽

Amigo. En realidad no puedes finalizar de esa manera la demostración. Tienes una proposición de la forma PvQ y simplemente comcluyes P. Lo que haces con la promera proposición tienes que hacerlo con la segunda para que te quede de la forma PvP. Aun asi esta bien lo demas, solo falto el final un paso. Gracias ❤

Thank you so much. BTW, it's fun to look how the typical abbreviated expressions like such that, without loss of generality, ... change through languages: In English it's st, wloy... In Spanish we use tq, spdg... XD

Oh sweet! Just what I needed, thank you. :)

Thank you!

Thanks for helping...

i am so grateful 😊tnx

Thanks.

Thanks from Austria!

Thanks! I hope you're still making math videos to help dumb college kids like me! XD

u the best man