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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) From the Venn diagram,the set $S = (A - B) \cup (B - C) \cup (C - A)$ represents the region containing elements that belong to exactly one of the

Vedclass · Accepted Answer

$A \cap B \cap C$

Vedclass · Answer

(C) From the Venn diagram,the set $S = (A - B) \cup (B - C) \cup (C - A)$ represents the region containing elements that belong to exactly one of the sets $A, B,$ or $C$,or elements that belong to exactly two of the sets,but excludes the intersection of all three sets $A \cap B \cap C$.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 region where all three sets overlap.Therefore,the complement of this set within the universal set $U$ (where $U = A \cup B \cup C$) is the region that remains,which is exactly the intersection of all three sets:$\{ (A - B) \cup (B - C) \cup (C - A)\} ' = A \cap B \cap C$.

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

Similar Questions

If $A, B$ and $C$ are three sets such that $A \cap B = A \cap C$ and $A \cup B = A \cup C$,then:

Write down the power set of $C = \{1, \{2\}\}$.

Which of the following pairs of sets are not equivalent?

Let $X = \{ 1, 2, 3, 4, 5 \}$ and $Y = \{ 1, 3, 5, 7, 9 \}$. Which of the following is/are relations from $X$ to $Y$?

There are $80$ families in a small extension area. $20$ percent of these families own a car each. $50$ percent of the remaining families own a motor cycle each. How many families in that extension do not own any vehicle?

Vedclass Test Series

Exam Paper Generator

Online Exam Module