• Aug 9th 2006, 04:02 AM
kodirl
Prove each of the following statements about sets A,B and C.
(i)AnB=BnA
(ii)(AnB)nC=An(BnC)
etc
Do you use venndiagrams to prove?
• Aug 9th 2006, 04:46 AM
OReilly
Quote:

Originally Posted by kodirl
Prove each of the following statements about sets A,B and C.
(i)AnB=BnA
(ii)(AnB)nC=An(BnC)
etc
Do you use venndiagrams to prove?

You can use tautology to prove it.

For example for (i):

$A \cap B = B \cap A$ if and only if $x \in A \wedge x \in B \Leftrightarrow x \in B \wedge x \in A$