If A = {x | x is a natural number less than 5} and B = {x | x is a prime number}, what is A ∩ B?
Practice Questions
1 question
Q1
If A = {x | x is a natural number less than 5} and B = {x | x is a prime number}, what is A ∩ B?
{1, 2, 3, 4}
{2, 3}
{3, 5}
{}
The natural numbers less than 5 are {1, 2, 3, 4} and the prime numbers are {2, 3}. Their intersection is {2, 3}.
Questions & Step-by-step Solutions
1 item
Q
Q: If A = {x | x is a natural number less than 5} and B = {x | x is a prime number}, what is A ∩ B?
Solution: The natural numbers less than 5 are {1, 2, 3, 4} and the prime numbers are {2, 3}. Their intersection is {2, 3}.
Steps: 5
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}.
