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

Practice Questions

Q1
If A = {x | x is a prime number less than 10} and B = {2, 3, 5, 7}, what is A = B?
  1. True
  2. False
  3. Cannot be determined
  4. None of the above

Questions & Step-by-Step Solutions

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.
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