Proof: A' is a Subset of B iff AUB is Universal Set | Set Theory

Описание: Let A and B be subsets of a universal set U. Then the complement of A, written A', is a subset of B if and only if A union B is the universal set! We'll go over this set theory proof in today's set theory lesson. All we need to do is use our definitions of set complement, set equality, subset, and set union, and we'll be able to prove this biconditional set theory result.



I hope you find this video helpful, and be sure to ask any questions down in the comments!

********************************************************************
The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.

Vallow Bandcamp: https://vallow.bandcamp.com/
Vallow Spotify: https://open.spotify.com/artist/0fRtu...
Vallow SoundCloud:   / benwatts-3  
********************************************************************

+WRATH OF MATH+

◆ Support Wrath of Math on Patreon:   / wrathofmathlessons  

Follow Wrath of Math on...
● Instagram:   / wrathofmathedu  
● Facebook:   / wrathofmath  
● Twitter:   / wrathofmathedu  

My Music Channel:    / seanemusic