1.

Prove: For all sets A and B, if A is a subset of B, then not B is a subset of not A.

2.

Prove: For all sets A,B,and C, A - (B U C) = (A-B) and (A-C)

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- December 11th 2007, 10:12 PMscottyflamingoProofs
1.

Prove: For all sets A and B, if A is a subset of B, then not B is a subset of not A.

2.

Prove: For all sets A,B,and C, A - (B U C) = (A-B) and (A-C) - December 12th 2007, 02:19 AMPlato
#1 is really only about logic. Recall that .

Thus “If x is in A then x is in B.” is equivalent to “If xi is not in B then x is not in A”.

#2