Use the element method for proving a set equals the empty set to prove the statement. Assume all sets are subsets of a universal setU.

1. For all setsAandB, ifBCAͨthenA∩B= Ø.

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- Apr 11th 2010, 06:00 PMMATNTRNGElement Method for proving...
Use the element method for proving a set equals the empty set to prove the statement. Assume all sets are subsets of a universal set

*U*.

1. For all sets*A*and*B*, if*B*__C__*Aͨ*then*A*∩*B*= Ø.

- Apr 12th 2010, 12:21 AMemakarov
Well, if crocodiles are not mammals, then there are no animal that is both a crocodile and a mammal. This is just to give an intuition. You can imagine that B is the set of crocodiles, A is the set of mammals, and start reasoning.