Let S ={1, 2, 3, 4, 5, 6, 7}, E ={1, 3, 5, 7}, F ={7, 4, 6}, G ={1, 4}.

Find
(a) EF ; (b) E ∪ FG (c) EG' (d) EF'∪G (e) E'(F ∪ G)
(f ) EG ∪FG.

Question

Let S ={1, 2, 3, 4, 5, 6, 7}, E ={1, 3, 5, 7}, F ={7, 4, 6}, G ={1, 4}. 

Find
(a) EF ; (b) E ∪ FG (c) EG' (d) EF'∪G (e) E'(F ∪ G)
(f ) EG ∪FG.

anonymous · Answer

are you suppose to use a matrix?

anonymous · Answer

Nop. @Hope_nicole  The normal Ven Diagram one I guess.

anonymous · Answer

Ummmm...what do you mean? i have never heard of using a ven diagram in math..

anonymous · Answer

@Hope_nicole  Confused I am, any idea on this?

anonymous · Answer

well, the EF means they want you to multiply them so i guess you would multiply them all together? are there any options for it?

anonymous · Answer

as far as I know, EF is only 7, the common one.

anonymous · Answer

how in the world?! im sorry i have no idea. :/

anonymous · Answer

@ParthKohli  Hello! Could you help me out with this? :( Great help it would be :)

parthkohli · Answer

Is $EF = E \times F$?

anonymous · Answer

yes..E ∩F

parthkohli · Answer

Oh, the intersection. You're right... it is $7$.

parthkohli · Answer

The second is $E \cup F \cap G$, right?

anonymous · Answer

yes!

parthkohli · Answer

OK, assume that you are going from left to right.

parthkohli · Answer

Can you do it?

anonymous · Answer

So is it, 1,3,4,5,7 ?

anonymous · Answer

I am actually confused with c) @ParthKohli

parthkohli · Answer

Oh.

parthkohli · Answer

$$E \cup G'$$What are the elements that are not in $G$, but occur at least once in other sets?

anonymous · Answer

isn't it E ∩ G′ ??

anonymous · Answer

the answer to your question would be 4!

parthkohli · Answer

hmm.

parthkohli · Answer

Sorry, yes.

parthkohli · Answer

{3,5,7} is the required set.

anonymous · Answer

shouldn't 4 be included as well? {3,4,5,7}