Question

. (i) Prove using Venn diagram that (A-B) = A'UB . ​

Answer 1

Step-by-step explanation:

Since the union of A and B represents the set of all elements of A and B, its negation is the empty set. The negation of the set A contains all the elements of B which are not also elements of A. Likewise, the nagation of the set B contains all the elements of the set A which are not elements of the set A at the same time. This implies that the intersection between not-A and not-B is the empty set, since not-A and not-B share no elements at all. Therefore, the given statement is verified: (A U B)' = A' intersection B' = the empty set. In the picture below, the empty set is represented by the absence of colored regions.

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Answer 2

Answer:

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