(A) Given sets are $A = \{a, b\}$ and $B = \{a, b, c\}$.Since every element of $A$ is also an element of $B$,$A$ is a subset of $B$,i.e.,$A \subset B$

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Yes,$A \subset B$ and $A \cup B = \{a, b, c\}$

(A) Given sets are $A = \{a, b\}$ and $B = \{a, b, c\}$.Since every element of $A$ is also an element of $B$,$A$ is a subset of $B$,i.e.,$A \subset B$.The union of two sets $A$ and $B$ is the set of all elements which are in $A$ or in $B$.Therefore,$A \cup B = \{a, b\} \cup \{a, b, c\} = \{a, b, c\} = B$.

Class 11 Mathematics Set Theory Venn Diagram and Operation on Sets

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Let $A = \{a, b\}$ and $B = \{a, b, c\}$. Is $A \subset B$? What is $A \cup B$?

A
Yes,$A \subset B$ and $A \cup B = \{a, b, c\}$
B
No,$A \not\subset B$ and $A \cup B = \{a, b, c\}$
C
Yes,$A \subset B$ and $A \cup B = \{a, b\}$
D
No,$A \not\subset B$ and $A \cup B = \{a, b\}$

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Set Theory

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Venn Diagram and Operation on Sets

If $A = \{3, 6, 9, 12, 15, 18, 21\}, B = \{4, 8, 12, 16, 20\}, C = \{2, 4, 6, 8, 10, 12, 14, 16\}, D = \{5, 10, 15, 20\};$ find $C - D$.

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If $A = \{3, 6, 9, 12, 15, 18, 21\}$,$B = \{4, 8, 12, 16, 20\}$,$C = \{2, 4, 6, 8, 10, 12, 14, 16\}$,and $D = \{5, 10, 15, 20\}$,find $B - C$.

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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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Consider the sets $X$ and $Y$ where $X = \{ \text{Ram, Geeta, Akbar} \}$ and $Y = \{ \text{Geeta, David, Ashok} \}$. Find $X \cap Y$.

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If $A$ and $B$ are any two sets,then $A \cap (A \cup B)$ is equal to

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Let $A = \{a, b\}$ and $B = \{a, b, c\}$. Is $A \subset B$? What is $A \cup B$?

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If $A = \{3, 6, 9, 12, 15, 18, 21\}, B = \{4, 8, 12, 16, 20\}, C = \{2, 4, 6, 8, 10, 12, 14, 16\}, D = \{5, 10, 15, 20\};$ find $C - D$.

If $A = \{3, 6, 9, 12, 15, 18, 21\}$,$B = \{4, 8, 12, 16, 20\}$,$C = \{2, 4, 6, 8, 10, 12, 14, 16\}$,and $D = \{5, 10, 15, 20\}$,find $B - C$.

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

Consider the sets $X$ and $Y$ where $X = \{ \text{Ram, Geeta, Akbar} \}$ and $Y = \{ \text{Geeta, David, Ashok} \}$. Find $X \cap Y$.

If $A$ and $B$ are any two sets,then $A \cap (A \cup B)$ is equal to

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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.