State whether the following statement is true or false. Justify your answer.
${a, e, i, o, u}$ and ${a, b, c, d}$ are disjoint sets.
${a, e, i, o, u}$ and ${a, b, c, d}$ are disjoint sets.
(B) False.
Two sets are disjoint if their intersection is the empty set,i.e.,$A \cap B = \emptyset$.
Here,let $A = \{a, e, i, o, u\}$ and $B = \{a, b, c, d\}$.
Since $a \in A$ and $a \in B$,we have $A \cap B = \{a\}$.
Since $A \cap B \neq \emptyset$,the sets are not disjoint.
Two sets are disjoint if their intersection is the empty set,i.e.,$A \cap B = \emptyset$.
Here,let $A = \{a, e, i, o, u\}$ and $B = \{a, b, c, d\}$.
Since $a \in A$ and $a \in B$,we have $A \cap B = \{a\}$.
Since $A \cap B \neq \emptyset$,the sets are not disjoint.
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