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

₹0.0

Question: 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?

Options:

Correct Answer: 4

Solution:

The number 4 is not a prime number, hence it is not included in the set of prime numbers less than 20.

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?

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.