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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?

Options:

  1. {2, 3, 5, 7}
  2. {1, 2, 3, 4, 5, 6, 7, 8, 9}
  3. {2, 3, 5, 7, 11}
  4. {2, 3, 5, 7, 9}

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

Solution: 

The set A consists of all prime numbers less than 10, which are {2, 3, 5, 7}.

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?
  1. {2, 3, 5, 7}
  2. {1, 2, 3, 4, 5, 6, 7, 8, 9}
  3. {2, 3, 5, 7, 11}
  4. {2, 3, 5, 7, 9}

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?
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.
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