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Which of the following sets is a universal set for the sets A = {1, 2} and B = {

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Question: Which of the following sets is a universal set for the sets A = {1, 2} and B = {2, 3}?

Options:

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

Correct Answer: {1, 2, 3}

Solution: 

A universal set contains all elements under consideration. Here, {1, 2, 3} contains all elements from both A and B.

Which of the following sets is a universal set for the sets A = {1, 2} and B = {

Practice Questions

Q1
Which of the following sets is a universal set for the sets A = {1, 2} and B = {2, 3}?
  1. {1, 2, 3}
  2. {2, 3, 4}
  3. {1, 2, 4}
  4. {1, 3}

Questions & Step-by-Step Solutions

Which of the following sets is a universal set for the sets A = {1, 2} and B = {2, 3}?
  • Step 1: Identify the elements in set A. Set A is {1, 2}.
  • Step 2: Identify the elements in set B. Set B is {2, 3}.
  • Step 3: Combine all unique elements from both sets A and B. The unique elements are 1, 2, and 3.
  • Step 4: Write the combined unique elements as a new set. The new set is {1, 2, 3}.
  • Step 5: Understand that a universal set contains all elements under consideration. Here, {1, 2, 3} contains all elements from both A and B.
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