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In a hybrid set containing elements from both set A and set B, if the intersecti

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Question: In a hybrid set containing elements from both set A and set B, if the intersection of A and B is empty, what can be inferred? (2023)

Options:

  1. A and B are identical.
  2. A and B are disjoint.
  3. A is a subset of B.
  4. B is a subset of A.

Correct Answer: A and B are disjoint.

Exam Year: 2023

Solution: 

If the intersection of sets A and B is empty, it indicates that A and B do not share any elements, making them disjoint sets.

In a hybrid set containing elements from both set A and set B, if the intersecti

Practice Questions

Q1
In a hybrid set containing elements from both set A and set B, if the intersection of A and B is empty, what can be inferred? (2023)
  1. A and B are identical.
  2. A and B are disjoint.
  3. A is a subset of B.
  4. B is a subset of A.

Questions & Step-by-Step Solutions

In a hybrid set containing elements from both set A and set B, if the intersection of A and B is empty, what can be inferred? (2023)
  • Step 1: Understand what a set is. A set is a collection of distinct objects or elements.
  • Step 2: Identify what the intersection of two sets means. The intersection is the set of elements that are common to both sets.
  • Step 3: Recognize that if the intersection of sets A and B is empty, it means there are no elements that A and B have in common.
  • Step 4: Conclude that since A and B do not share any elements, they are called disjoint sets.
  • Disjoint Sets – Disjoint sets are sets that have no elements in common, meaning their intersection is empty.
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