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Mathematics 16 Online
OpenStudy (ajprincess):

plzzzzzzz help

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?

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

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?

OpenStudy (ajprincess):

let me try

OpenStudy (ajprincess):

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