If a set is defined as {x | x is a prime number less than 10}, which of the foll

₹0.0

Question: If a set is defined as {x | x is a prime number less than 10}, which of the following elements is NOT in the set?

Options:

Correct Answer: 4

Solution:

The set includes prime numbers less than 10, which are 2, 3, 5, and 7. The number 4 is not a prime number.

If a set is defined as {x | x is a prime number less than 10}, which of the following elements is NOT in the set?

If a set is defined as {x | x is a prime number less than 10}, which of the following elements is NOT 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 10. These are: 2, 3, 5, and 7.
Step 3: List the prime numbers found: {2, 3, 5, 7}.
Step 4: Check the number 4 to see if it is a prime number. The number 4 can be divided by 1, 2, and 4, so it is not a prime number.
Step 5: Conclude that since 4 is not a prime number, it is NOT in the set of prime numbers less than 10.

Set Theory – Understanding how to define and identify elements within a set based on given criteria.
Prime Numbers – Knowledge of prime numbers and their properties, specifically identifying which numbers are prime.
Inequalities – Understanding the concept of 'less than' in the context of numerical values.