If A = {x | x is a prime number less than 10}, what is A?

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Question: If A = {x | x is a prime number less than 10}, what is A?

Options:

Correct Answer: {2, 3, 5, 7}

Solution:

The prime numbers less than 10 are 2, 3, 5, and 7. Therefore, A = {2, 3, 5, 7}.

If A = {x | x is a prime number less than 10}, what is A?

If A = {x | x is a prime number less than 10}, what is A?

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: List the numbers less than 10. These numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9.
Step 3: Check each number to see if it is prime.
Step 4: 1 is not prime because it only has one divisor (1).
Step 5: 2 is prime because it can only be divided by 1 and 2.
Step 6: 3 is prime because it can only be divided by 1 and 3.
Step 7: 4 is not prime because it can be divided by 1, 2, and 4.
Step 8: 5 is prime because it can only be divided by 1 and 5.
Step 9: 6 is not prime because it can be divided by 1, 2, 3, and 6.
Step 10: 7 is prime because it can only be divided by 1 and 7.
Step 11: 8 is not prime because it can be divided by 1, 2, 4, and 8.
Step 12: 9 is not prime because it can be divided by 1, 3, and 9.
Step 13: Collect all the prime numbers found: 2, 3, 5, and 7.
Step 14: Write the set A using the prime numbers: A = {2, 3, 5, 7}.

Prime Numbers – Understanding what constitutes a prime number and identifying them within a specified range.
Set Notation – Using set notation to define a collection of elements based on a specific property.