State whether the following statement is true or false. Justify your answer.
${2, 6, 10, 14}$ and ${3, 7, 11, 15}$ are disjoint sets.
${2, 6, 10, 14}$ and ${3, 7, 11, 15}$ are disjoint sets.
(A) The statement is $True$.
Two sets are said to be disjoint if their intersection is the empty set,denoted by $\varnothing$.
Let $A = \{2, 6, 10, 14\}$ and $B = \{3, 7, 11, 15\}$.
The intersection of $A$ and $B$ is $A \cap B = \{2, 6, 10, 14\} \cap \{3, 7, 11, 15\} = \varnothing$.
Since the intersection is empty,the sets are disjoint.
Two sets are said to be disjoint if their intersection is the empty set,denoted by $\varnothing$.
Let $A = \{2, 6, 10, 14\}$ and $B = \{3, 7, 11, 15\}$.
The intersection of $A$ and $B$ is $A \cap B = \{2, 6, 10, 14\} \cap \{3, 7, 11, 15\} = \varnothing$.
Since the intersection is empty,the sets are disjoint.
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