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If set F contains elements {a, b, c} and set G contains elements {b, c, d}, what

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Question: If set F contains elements {a, b, c} and set G contains elements {b, c, d}, what is the intersection of sets F and G?

Options:

  1. {a, b, c, d}
  2. {b, c}
  3. {a, d}
  4. {}

Correct Answer: {b, c}

Solution: 

The intersection of sets F and G includes only the elements that are present in both sets, which are {b, c}.

If set F contains elements {a, b, c} and set G contains elements {b, c, d}, what

Practice Questions

Q1
If set F contains elements {a, b, c} and set G contains elements {b, c, d}, what is the intersection of sets F and G?
  1. {a, b, c, d}
  2. {b, c}
  3. {a, d}
  4. {}

Questions & Step-by-Step Solutions

If set F contains elements {a, b, c} and set G contains elements {b, c, d}, what is the intersection of sets F and G?
  • Step 1: Identify the elements in set F. Set F contains {a, b, c}.
  • Step 2: Identify the elements in set G. Set G contains {b, c, d}.
  • Step 3: Look for elements that are present in both sets F and G.
  • Step 4: The common elements in both sets are b and c.
  • Step 5: Write down the common elements as the intersection of sets F and G.
  • Step 6: The intersection of sets F and G is {b, c}.
  • Set Theory – Understanding the intersection of sets, which includes elements common to both sets.
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