Let A and B be any two events. Use Venn diagrams to show that (a) the complement of their intersection is the union of their complements: ( A ∩ B ) C = A C ∪ B C (b) the complement of their union is the intersection of their complements: ( A ∪ B ) C = A C ∩ B C (These two results are known as DeMorgan's laws.)
Let A and B be any two events. Use Venn diagrams to show that (a) the complement of their intersection is the union of their complements: ( A ∩ B ) C = A C ∪ B C (b) the complement of their union is the intersection of their complements: ( A ∪ B ) C = A C ∩ B C (These two results are known as DeMorgan's laws.)
Solution Summary: The author explains how to verify the complement of the intersection of A and B by using a Venn diagram.
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