Set Theory Proof Help: Proving C∩D=Ø When A⊆C and B⊆D

[dainty77]

Hey guys!

I am new to this forum but saw the helpful posts on set theory proofs and wondered if I could finally get some help with this problem:

Suppose A, B, C, and D are sets with A⊆C and B⊆D. If A∩B=Ø then C∩D=Ø.

This is a biconditional so I have to prove it both ways correct?

Any help would be greatly appreciated!

 

[R136a1]

This belongs in the homework forum. Do you have some attempt?

I don't see a biconditional in your statement.

 

[dainty77]

Oh my mistake!

 

[D H]

Thread closed as dainty77 posted this question (per R136a1's suggestion) in the homework section.