Let $X = \{ \text{Ram, Geeta, Akbar} \}$ be the set of students of Class $XI$ who are in the school hockey team. Let $Y = \{ \text{Geeta, David, Ashok} \}$ be the set of students from Class $XI$ who are in the school football team. Find $X \cup Y$ and interpret the set.
(A) The union of two sets $X$ and $Y$ is the set of all elements that are in $X$,in $Y$,or in both.
$X \cup Y = \{ \text{Ram, Geeta, Akbar} \} \cup \{ \text{Geeta, David, Ashok} \} = \{ \text{Ram, Geeta, Akbar, David, Ashok} \}$.
This set represents all students of Class $XI$ who are in the hockey team,the football team,or both.
$X \cup Y = \{ \text{Ram, Geeta, Akbar} \} \cup \{ \text{Geeta, David, Ashok} \} = \{ \text{Ram, Geeta, Akbar, David, Ashok} \}$.
This set represents all students of Class $XI$ who are in the hockey team,the football team,or both.
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