Which of the following statements about the union of two sets is true?

Practice Questions

Q1
Which of the following statements about the union of two sets is true?
  1. The union includes only the elements that are common to both sets.
  2. The union includes all elements from both sets, excluding duplicates.
  3. The union is only applicable to finite sets.
  4. The union can never be larger than the largest set.

Questions & Step-by-Step Solutions

Which of the following statements about the union of two sets is true?
  • Step 1: Understand what a set is. A set is a collection of distinct items or elements.
  • Step 2: Identify two sets. For example, Set A = {1, 2, 3} and Set B = {3, 4, 5}.
  • Step 3: Find the union of the two sets. The union combines all elements from both sets without repeating any elements.
  • Step 4: List the unique elements from both sets. From Set A and Set B, the unique elements are {1, 2, 3, 4, 5}.
  • Step 5: Conclude that the union of Set A and Set B is {1, 2, 3, 4, 5}.
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