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If A represents students who play sports and B represents students who study mus

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Question: If A represents students who play sports and B represents students who study music, what does the intersection of A and B represent?

Options:

  1. Students who play sports
  2. Students who study music
  3. Students who do both
  4. Students who do neither

Correct Answer: Students who do both

Solution: 

The intersection of A and B represents students who are involved in both activities.

If A represents students who play sports and B represents students who study mus

Practice Questions

Q1
If A represents students who play sports and B represents students who study music, what does the intersection of A and B represent?
  1. Students who play sports
  2. Students who study music
  3. Students who do both
  4. Students who do neither

Questions & Step-by-Step Solutions

If A represents students who play sports and B represents students who study music, what does the intersection of A and B represent?
  • Step 1: Understand that A is a group of students who play sports.
  • Step 2: Understand that B is a group of students who study music.
  • Step 3: The intersection of A and B means we are looking for students who belong to both groups.
  • Step 4: Therefore, the intersection of A and B represents students who play sports and also study music.
  • Set Theory – Understanding the intersection of two sets, which includes elements common to both sets.
  • Venn Diagrams – Visual representation of sets and their relationships, particularly useful for illustrating intersections.
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