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

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

Options:

Correct Answer: {2, 3}

Solution:

The natural numbers less than 5 are {1, 2, 3, 4} and the prime numbers are {2, 3}. Their intersection is {2, 3}.

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

If A = {x | x is a natural number less than 5} and B = {x | x is a prime 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, 4}.
Step 2: Identify the set B. B is defined as the set of prime numbers. The prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. The prime numbers less than 5 are {2, 3}.
Step 3: Find the intersection of sets A and B. The intersection A ∩ B includes only the numbers that are in both set A and set B.
Step 4: Compare the elements of A and B. Set A is {1, 2, 3, 4} and set B is {2, 3}. The common elements are 2 and 3.
Step 5: Write the intersection. The intersection A ∩ B is {2, 3}.

Set Theory – Understanding the definition and properties of sets, including intersection.
Natural Numbers – Identifying natural numbers and their properties, particularly in relation to defined sets.
Prime Numbers – Recognizing prime numbers and distinguishing them from other types of numbers.