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In a hybrid set, if the intersection of set G and set H is empty, what does this

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Question: In a hybrid set, if the intersection of set G and set H is empty, what does this imply?

Options:

  1. Set G and set H are identical.
  2. Set G and set H have no elements in common.
  3. Set G is a subset of set H.
  4. Set H is a subset of set G.

Correct Answer: Set G and set H have no elements in common.

Solution:

An empty intersection indicates that the two sets do not share any elements, confirming their disjoint nature.

In a hybrid set, if the intersection of set G and set H is empty, what does this

Practice Questions

Q1
In a hybrid set, if the intersection of set G and set H is empty, what does this imply?
  1. Set G and set H are identical.
  2. Set G and set H have no elements in common.
  3. Set G is a subset of set H.
  4. Set H is a subset of set G.

Questions & Step-by-Step Solutions

In a hybrid set, if the intersection of set G and set H is empty, what does this imply?
  • Step 1: Understand what a set is. A set is a collection of distinct objects or elements.
  • Step 2: Know 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 set G and set H is empty, it means there are no elements that are in both sets.
  • Step 4: Conclude that since there are no common elements, set G and set H do not share any elements.
  • Step 5: Understand that this means set G and set H are disjoint sets, which means they are completely separate from each other.
  • Disjoint Sets – Sets that have no elements in common, indicated by an empty intersection.
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