If a set is defined as {x | x is a natural number less than 20 and even}, which

₹0.0

Question: If a set is defined as {x | x is a natural number less than 20 and even}, which of the following numbers is included in the set?

Options:

Correct Answer: 10

Solution:

The even natural numbers less than 20 are 2, 4, 6, 8, 10, 12, 14, 16, and 18. Therefore, 10 is included in the set.

If a set is defined as {x | x is a natural number less than 20 and even}, which of the following numbers is included in the set?

If a set is defined as {x | x is a natural number less than 20 and even}, which of the following numbers is included in the set?

Step 1: Understand what a natural number is. Natural numbers are the positive integers starting from 1 (1, 2, 3, ...).
Step 2: Identify the range given in the question, which is 'less than 20'. This means we will consider natural numbers from 1 up to 19.
Step 3: Determine which of these natural numbers are even. Even numbers are those that can be divided by 2 without a remainder.
Step 4: List the even natural numbers less than 20. They are: 2, 4, 6, 8, 10, 12, 14, 16, and 18.
Step 5: Check if the number 10 is in the list of even natural numbers less than 20. Since 10 is in the list, it is included in the set.

Set Notation – Understanding how to interpret and define sets using set-builder notation.
Natural Numbers – Recognizing the properties of natural numbers, specifically their range and characteristics (evenness in this case).
Even Numbers – Identifying even numbers and their relationship to natural numbers.