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 \( A \cap B \) 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 \( A \cap B \) represent?
Show Hint
In set theory, the intersection \( A \cap B \) represents all elements that belong to both sets \( A \) and \( B \).
Updated On: Sep 30, 2025
- Only life science students
- All liberal arts and life science students
- Only liberal arts students
- The subset of liberal arts and life science double-majors
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The Correct Option is D
Solution and Explanation
Step 1: Understanding \( A \cap B \).
The notation \( A \cap B \) refers to the intersection of the two sets \( A \) and \( B \), meaning all students who are both liberal arts and life science majors.
Step 2: Conclusion.
The correct interpretation of \( A \cap B \) is the set of students who are double-majors in both liberal arts and life sciences.
The notation \( A \cap B \) refers to the intersection of the two sets \( A \) and \( B \), meaning all students who are both liberal arts and life science majors.
Step 2: Conclusion.
The correct interpretation of \( A \cap B \) is the set of students who are double-majors in both liberal arts and life sciences.
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