Let X = \\{ Ram, Geeta, Akbar \\} be the set of students of Class XI, who are in school hockey team. Let Y = \\{ Geeta, David, Ashok \\} be the set of students from Class XI who are in the school football team. Find X∩Y and interpret the set.
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Step-by-Step Solution
Step 1: Identify the given sets
We are given two sets of students. Set X represents students in the hockey team, and set Y represents students in the football team.
Step 2: Find the intersection of the sets
The intersection of two sets, denoted by X∩Y, consists of all elements that are common to both sets X and Y. In this case, 'Geeta' is the only student present in both the hockey team and the football team.
Step 3: Interpret the resulting set
The set X∩Y contains the names of students who are members of both the school hockey team and the school football team. This means 'Geeta' is a member of both teams.