using set algebra laws prove the following:
1) (A-B) U (B-A) = (A U B) - (A ∩ B)
2) ((A ∩ B)' U B)' = 0
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Start by replacing X - Y by X ∩ Y', then use De Morgan's laws and distributivity of ∩ over U.
Here is the second one.
I'll let you supply the reasons. . . . . . . . . . .
1st line - deMorgans?
2nd line - complement law?
3rd line - ???
4th line - ???
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