Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (ajprincess):
\[(A \times B) n (C n D)=(AnC)\times (BnD)\]
OpenStudy (ajprincess):
need to prove t
OpenStudy (blockcolder):
What are A, B, C, D, n, x?
OpenStudy (ajprincess):
A, B, C and D are non empty sets
OpenStudy (blockcolder):
What's n?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (ajprincess):
n is intersection.
OpenStudy (blockcolder):
Ohhh. You meant this:
\[(A \times B)\cap(C \cap D)\equiv(A \cap C) \times (B \cap D)\]
OpenStudy (ajprincess):
ya
OpenStudy (blockcolder):
x is Cartesian product?
OpenStudy (ajprincess):
hw did u insert that intersection symbol?
ya it is
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (blockcolder):
Just put \cap and it gives you that symbol.
Why don't you try building the sets? Like, let A={1,2,3} or something like that. So that you have an idea as to what is happening on both sides.
OpenStudy (ajprincess):
we need to show it like this.
taking x as element of the thing in RHS.
somethng lyk that. dnt knw to continue frm that
OpenStudy (blockcolder):
Ah, so lemme begin and see if you can continue.
Let \(x=(m,n)\in \text{RHS}\). That means \(m\in(A\cap C)\) and \(n\in(B \cap D)\).
Can you continue from here?