Let U be the universal set and A cup B cup C | vedclass

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(C) From the Venn diagram,the set $\{ (A - B) \cup (B - C) \cup (C - A) \}$ represents the elements that belong to exactly one of the sets $A, B,$ or

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$A \cap B \cap C$

Vedclass · Answer

(C) From the Venn diagram,the set $\{ (A - B) \cup (B - C) \cup (C - A) \}$ represents the elements that belong to exactly one of the sets $A, B,$ or $C$,or the elements that belong to exactly two of the sets.Specifically,the region $\{ (A - B) \cup (B - C) \cup (C - A) \}$ covers all parts of the union $A \cup B \cup C$ except for the central intersection region $A \cap B \cap C$.Therefore,the complement of this set within the universal set $U = A \cup B \cup C$ is the central region itself.Thus,$\{ (A - B) \cup (B - C) \cup (C - A) \}' = A \cap B \cap C$.

Let $U$ be the universal set and $A \cup B \cup C = U$. Then $\{ (A - B) \cup (B - C) \cup (C - A)\} '$ is equal to

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