If A = {x | x is a natural number less than 5} and B = {x | x is an odd natural

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Question: If A = {x | x is a natural number less than 5} and B = {x | x is an odd natural number}, what is A ∩ B?

Options:

Correct Answer: {1, 3}

Solution:

The intersection A ∩ B includes elements that are in both A and B. Here, A = {1, 2, 3, 4} and B = {1, 3}, so A ∩ B = {1, 3}.

If A = {x | x is a natural number less than 5} and B = {x | x is an odd natural number}, what is A ∩ B?

If A = {x | x is a natural number less than 5} and B = {x | x is an odd natural number}, what is A ∩ B?

Step 1: Identify the set A. A is defined as the set of natural numbers less than 5. The natural numbers less than 5 are 1, 2, 3, and 4. So, A = {1, 2, 3, 4}.
Step 2: Identify the set B. B is defined as the set of odd natural numbers. The odd natural numbers are 1, 3, 5, 7, etc. But since we are only interested in the odd natural numbers that are less than 5, we have B = {1, 3}.
Step 3: Find the intersection A ∩ B. The intersection includes elements that are in both sets A and B. We look for common elements in A and B.
Step 4: Compare the elements of A and B. A has {1, 2, 3, 4} and B has {1, 3}. The common elements are 1 and 3.
Step 5: Write the intersection. Therefore, A ∩ B = {1, 3}.

Set Theory – Understanding the definition and properties of sets, including intersection.
Natural Numbers – Recognizing and identifying natural numbers and their properties.
Odd Numbers – Identifying odd numbers within a set of natural numbers.