Prove `A cup (B cap C)=(A cup B) cap(A cup C)`
![Prove `A cup (B cap C)=(A cup B) cap(A cup C)`](https://i.ytimg.com/vi/To5tfY947mo/maxresdefault.jpg)
![](https://toppr-doubts-media.s3.amazonaws.com/images/4681763/bce51e05-8b44-4eb1-9ae5-1d9738387382.jpg)
overline { A } cap overline { B } = overline { A cup B } )
![](https://i.ytimg.com/vi/IfyGyXLl14g/hq720.jpg?sqp=-oaymwE7CK4FEIIDSFryq4qpAy0IARUAAAAAGAElAADIQj0AgKJD8AEB-AH-CYAC0AWKAgwIABABGHIgRiglMA8=&rs=AOn4CLChFai40RdqR1HsrqC694OVcLmm8A)
The value of `(A cup B cup C) cap (A cap B^(C)capC^(C)) cap C^(C)` is
![](https://i.ytimg.com/vi/e3fcY0IFcPc/hq720.jpg?sqp=-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD&rs=AOn4CLCuP4q4S8pcW4Bf3phMQbK4qKK56Q)
Prove `A cup (B cap C)=(A cup B) cap(A cup C)`
![](https://pbs.twimg.com/media/Ey87QH2VkAI7u7V.jpg)
fperez@fosstodon.org on X: Between jut (less for ipynbs) by @kracetheking, and nbterm (nano for ipynbs) by @davidbrochart, we're getting a great, lightweight toolkit for using notebooks at the cmd line. jut
![](https://d2nchlq0f2u6vy.cloudfront.net/cache/53/4c/534cd6bb4a0f81e3f06191f2ca6a4f0c.jpg)
![](https://static.doubtnut.com/ss/web/1253487.webp)
Prove A cup (B cap C)=(A cup B) cap(A cup C)
![](https://haygot.s3.amazonaws.com/questions/1947802_1708336_ans_7b714add562840c9b9d22340b19a4b7c.jpg)
Let A=left{a,e,i,o,uright}, B=left{a,d,e,o,vright} and C=left{e,o,t,mright}Using Venn diagrams verify the following :Acup (Bcap C)=(Acup B)cap (Acup C)
![](https://d2nchlq0f2u6vy.cloudfront.net/18/08/26/da4dbf246ebf18c39338f8e0ddcc1a47/64965a4c0df9467e11eb447750a72f42/lateximg.png)
1.6: Set Operations with Three Sets - Mathematics LibreTexts
![](https://toppr-doubts-media.s3.amazonaws.com/images/9148154/0ffe3555-8c08-4c6e-924c-c91b79e7f5c2.jpg)
Using properties of sets, show thatn(i) ( A cup ( A cap B ) = A ) (ii) ( A cap ( A cup B ) = A )
![](https://cdn.numerade.com/previews/a1377678-4755-4c0d-ad84-f724561711c4.gif)
⏩SOLVED:Without using Venn diagram, prove that A ∪(B ∩C)=(A ∪B) ∩(A…