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If set X contains {1, 2, 3} and set Y contains {3, 4, 5}, what is the intersecti

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Question: If set X contains {1, 2, 3} and set Y contains {3, 4, 5}, what is the intersection of set X and set Y?

Options:

  1. {1, 2, 3, 4, 5}
  2. {3}
  3. {1, 2}
  4. {}

Correct Answer: {3}

Solution: 

The intersection of set X and set Y is {3}, as it is the only element common to both sets.

If set X contains {1, 2, 3} and set Y contains {3, 4, 5}, what is the intersecti

Practice Questions

Q1
If set X contains {1, 2, 3} and set Y contains {3, 4, 5}, what is the intersection of set X and set Y?
  1. {1, 2, 3, 4, 5}
  2. {3}
  3. {1, 2}
  4. {}

Questions & Step-by-Step Solutions

If set X contains {1, 2, 3} and set Y contains {3, 4, 5}, what is the intersection of set X and set Y?
  • Step 1: Identify the elements in set X, which are {1, 2, 3}.
  • Step 2: Identify the elements in set Y, which are {3, 4, 5}.
  • Step 3: Look for elements that are present in both set X and set Y.
  • Step 4: Compare the elements: 1 is not in set Y, 2 is not in set Y, but 3 is in both sets.
  • Step 5: Since 3 is the only element that appears in both sets, it is the intersection.
  • Step 6: Write the intersection as a set: {3}.
  • Set Theory – Understanding the intersection of two sets, which includes elements that are present in both sets.
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