If A = {x | x is a prime number less than 10} and B = {2, 3, 5, 7}, what is A =

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Question: If A = {x | x is a prime number less than 10} and B = {2, 3, 5, 7}, what is A = B?

Options:

Correct Answer: True

Solution:

Both sets A and B contain the same elements: {2, 3, 5, 7}. Therefore, A = B is True.

If A = {x | x is a prime number less than 10} and B = {2, 3, 5, 7}, what is A = B?

If A = {x | x is a prime number less than 10} and B = {2, 3, 5, 7}, what is A = B?

Step 1: Identify the definition of set A, which is the set of all prime numbers less than 10.
Step 2: List the prime numbers less than 10. These are 2, 3, 5, and 7.
Step 3: Write set A using the prime numbers identified: A = {2, 3, 5, 7}.
Step 4: Compare set A with set B, which is given as B = {2, 3, 5, 7}.
Step 5: Check if both sets A and B have the same elements.
Step 6: Since both sets A and B contain the same elements, conclude that A = B is True.

Set Theory – Understanding the definition of sets and the concept of equality between sets.
Prime Numbers – Identifying prime numbers and their properties.