(A) The statement "No child is naughty" implies that there is no intersection between the set of children $(C)$ and the set of naughty persons $(N)$.M

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(A) The statement "No child is naughty" implies that there is no intersection between the set of children $(C)$ and the set of naughty persons $(N)$.Mathematically,this is represented as $C \cap N = \phi$.This means that the sets $C$ and $N$ are disjoint,which is correctly represented by the Venn diagram where the two circles do not overlap,as shown in option $A$.

Class 11 Mathematics Set Theory Venn Diagram and Operation on Sets

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Which Venn diagram represents the truth of the statement "No child is naughty"?
Where $U$ = Universal set of human beings,$C$ = Set of children,$N$ = Set of naughty persons.

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B
C
D
None of these

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Venn Diagram and Operation on Sets

Let $A = \{1, 2, 3, 4, 5, 6\}$ and $B = \{2, 4, 6, 8\}$. Find $A - B$ and $B - A$.

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If $A=\{3, 5, 7, 9, 11\}, B=\{7, 9, 11, 13\}, C=\{11, 13, 15\}$ and $D=\{15, 17\}$; find $A \cap (B \cup D)$.

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Which of the following Venn diagrams corresponds to the statement "All mothers are women"? ($M$ is the set of all mothers,$W$ is the set of all women)

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If $A = \{3, 5, 7, 9, 11\}$,$B = \{7, 9, 11, 13\}$,$C = \{11, 13, 15\}$ and $D = \{15, 17\}$,find $A \cap C$.

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State whether the following statement is true or false. Justify your answer.
${2, 3, 4, 5}$ and ${3, 6}$ are disjoint sets.

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Which Venn diagram represents the truth of the statement "No child is naughty"?Where $U$ = Universal set of human beings,$C$ = Set of children,$N$ = Set of naughty persons.

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Let $A = \{1, 2, 3, 4, 5, 6\}$ and $B = \{2, 4, 6, 8\}$. Find $A - B$ and $B - A$.

If $A=\{3, 5, 7, 9, 11\}, B=\{7, 9, 11, 13\}, C=\{11, 13, 15\}$ and $D=\{15, 17\}$; find $A \cap (B \cup D)$.

Which of the following Venn diagrams corresponds to the statement "All mothers are women"? ($M$ is the set of all mothers,$W$ is the set of all women)

If $A = \{3, 5, 7, 9, 11\}$,$B = \{7, 9, 11, 13\}$,$C = \{11, 13, 15\}$ and $D = \{15, 17\}$,find $A \cap C$.

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Which Venn diagram represents the truth of the statement "No child is naughty"?
Where $U$ = Universal set of human beings,$C$ = Set of children,$N$ = Set of naughty persons.

State whether the following statement is true or false. Justify your answer.
${2, 3, 4, 5}$ and ${3, 6}$ are disjoint sets.