(A) The difference of two sets $A$ and $B$,denoted by $A - B$,is defined as the set of elements which belong to $A$ but do not belong to $B$.Mathemati

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(A) The difference of two sets $A$ and $B$,denoted by $A - B$,is defined as the set of elements which belong to $A$ but do not belong to $B$.Mathematically,$A - B = \{x : x \in A \text{ and } x \notin B\}$.Since $x \notin B$ is equivalent to $x \in B^c$,we have $A - B = \{x : x \in A \text{ and } x \in B^c\}$.Therefore,$A - B = A \cap B^c$.

Class 11 Mathematics Set Theory Venn Diagram and Operation on Sets

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Let $A$ and $B$ be two sets in the universal set. Then $A - B$ equals

A
$A \cap B^c$
B
$A^c \cap B$
C
$A \cap B$
D
None of these

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Set Theory

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Venn Diagram and Operation on Sets

If $A = \{1, 2, 3, 4\}$,$B = \{3, 4, 5, 6\}$,$C = \{5, 6, 7, 8\}$,and $D = \{7, 8, 9, 10\}$,find $A \cup B \cup D$.

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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 $A \cap B$.

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If $A = \{2, 3, 4, 8, 10\}, B = \{3, 4, 5, 10, 12\}, C = \{4, 5, 6, 12, 14\}$,then $(A \cup B) \cap (A \cup C)$ 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.

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Find the intersection of the given pair of sets:
$X = \{1, 3, 5\}, Y = \{1, 2, 3\}$

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Let $A$ and $B$ be two sets in the universal set. Then $A - B$ equals

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If $A = \{1, 2, 3, 4\}$,$B = \{3, 4, 5, 6\}$,$C = \{5, 6, 7, 8\}$,and $D = \{7, 8, 9, 10\}$,find $A \cup B \cup D$.

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

If $A = \{2, 3, 4, 8, 10\}, B = \{3, 4, 5, 10, 12\}, C = \{4, 5, 6, 12, 14\}$,then $(A \cup B) \cap (A \cup C)$ is equal to:

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

Find the intersection of the given pair of sets:$X = \{1, 3, 5\}, Y = \{1, 2, 3\}$

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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.

Find the intersection of the given pair of sets:
$X = \{1, 3, 5\}, Y = \{1, 2, 3\}$