If U = {1, 2, 3, 4, 5}, A = {1, 2}, and B = {2, 3}, what is A ∪ B?

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Question: If U = {1, 2, 3, 4, 5}, A = {1, 2}, and B = {2, 3}, what is A ∪ B?

Options:

Correct Answer: {1, 2, 3}

Solution:

The union A ∪ B includes all elements from both sets, which are {1, 2, 3}.

If U = {1, 2, 3, 4, 5}, A = {1, 2}, and B = {2, 3}, what is A ∪ B?

If U = {1, 2, 3, 4, 5}, A = {1, 2}, and B = {2, 3}, what is A ∪ B?

Step 1: Identify the sets A and B. A = {1, 2} and B = {2, 3}.
Step 2: Write down all the elements in set A. The elements are 1 and 2.
Step 3: Write down all the elements in set B. The elements are 2 and 3.
Step 4: Combine all the elements from both sets A and B. This gives us {1, 2, 2, 3}.
Step 5: Remove any duplicates from the combined set. The duplicates are the number 2.
Step 6: The final set after removing duplicates is {1, 2, 3}.
Step 7: Therefore, A ∪ B = {1, 2, 3}.

Set Union – The union of two sets includes all distinct elements from both sets.