If a set is defined as {x | x is a prime number less than 20}, which of the foll

Practice Questions

Q1
If a set is defined as {x | x is a prime number less than 20}, which of the following elements is NOT included in the set?
  1. 2
  2. 3
  3. 4
  4. 19

Questions & Step-by-Step Solutions

If a set is defined as {x | x is a prime number less than 20}, which of the following elements is NOT included in the set?
  • 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 20. These are: 2, 3, 5, 7, 11, 13, 17, 19.
  • Step 3: Look at the number 4. Check if it is a prime number.
  • Step 4: Determine that 4 is not a prime number because it can be divided by 1, 2, and 4.
  • Step 5: Conclude that since 4 is not a prime number, it is not included in the set of prime numbers less than 20.
  • Set Definition – Understanding how to define a set based on specific criteria, in this case, prime numbers.
  • Prime Numbers – Knowledge of what constitutes a prime number and the ability to identify prime numbers less than a given value.
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