Let $A=\{a, e, i, o, u\}$ and $B=\{a, i, u\} .$ Show that $A \cup B=A$

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We have, $A \cup B=\{a, e, i, o, u\}=A$

This example illustrates that union of sets $A$ and its subset $B$ is the set $A$ itself, i.e., if $B \subset A ,$ then $A \cup B = A$

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