If a set is defined as {x | x is a natural number and x < 10}, which of the f

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Question: If a set is defined as {x | x is a natural number and x < 10}, which of the following is the largest element in this set?

Options:

Correct Answer: 9

Solution:

The largest natural number less than 10 is 9, making it the largest element in the defined set.

If a set is defined as {x | x is a natural number and x < 10}, which of the following is the largest element in this set?

If a set is defined as {x | x is a natural number and x < 10}, which of the following is the largest element in this 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 condition given in the set definition: x < 10. This means we are looking for natural numbers that are less than 10.
Step 3: List the natural numbers that are less than 10: 1, 2, 3, 4, 5, 6, 7, 8, 9.
Step 4: Determine the largest number in the list from Step 3. The largest number is 9.
Step 5: Conclude that the largest element in the defined set is 9.

Set Notation – Understanding how to interpret set-builder notation to identify the elements of a set.
Natural Numbers – Recognizing the definition of natural numbers and their properties, particularly in relation to inequalities.
Inequalities – Applying knowledge of inequalities to determine the largest number within a specified range.