Question:
Circle A represents students who major in liberal arts at a certain university. Circle B
represents students who major in the life sciences at that university, and circle C represents
engineering majors at the same university.What does \( A \cup B \) represent?
Circle A represents students who major in liberal arts at a certain university. Circle B
represents students who major in the life sciences at that university, and circle C represents
engineering majors at the same university.What does \( A \cup B \) represent?
Show Hint
In set theory, the union \( A \cup B \) represents all elements that belong to either set \( A \) or set \( B \), or both.
Updated On: Sep 30, 2025
- Only life science students
- Only liberal arts students
- All liberal arts and life science students
- Only the subset of liberal arts and life science double-majors
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The Correct Option is C
Solution and Explanation
Step 1: Understanding \( A \cup B \).
The notation \( A \cup B \) refers to the union of the two sets \( A \) and \( B \), meaning all students who are either in liberal arts or life science majors.
Step 2: Conclusion.
The correct interpretation of \( A \cup B \) is all students who are either liberal arts or life science majors.
The notation \( A \cup B \) refers to the union of the two sets \( A \) and \( B \), meaning all students who are either in liberal arts or life science majors.
Step 2: Conclusion.
The correct interpretation of \( A \cup B \) is all students who are either liberal arts or life science majors.
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