If A = {x | x is a prime number less than 10} and B = {2, 3, 5, 7}, what is A?
Correct Answer: {2, 3, 5, 7}
- Step 1: Understand what a prime number is. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.
- Step 2: Identify the prime numbers less than 10. These are: 2, 3, 5, and 7.
- Step 3: Write down the set A using the prime numbers identified. Set A = {2, 3, 5, 7}.
- Step 4: Compare set A with set B. Set B is given as {2, 3, 5, 7}, which matches set A.
- Set Theory – Understanding sets and their definitions, specifically how to identify elements that belong to a set based on given criteria.
- Prime Numbers – Knowledge of prime numbers and their properties, particularly identifying which numbers are prime and less than a specified value.
