Course Solutions Uncategorized (Solved) : Let B C D Sets Consider Following Theorem 1 B C B C Theorem 2 B C D C B D Theorem 3 B C Q33346566 . . . .

(Solved) : Let B C D Sets Consider Following Theorem 1 B C B C Theorem 2 B C D C B D Theorem 3 B C Q33346566 . . . .

 

Let A,B,C,D be sets, and consider the following:

Theorem 1. A×(B∪C)=(A×B)∪(A×C).

Theorem 2. (A×B)∩(C×D)=(A∩C)×(B∩D).

Theorem 3. (A×B)Δ(C×D)=(AΔC)×(BΔD).

For each, give a proof or counterexample.

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