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 a valid element of this set?

Options:

Correct Answer: 5

Solution:

The valid element of the set is 5, as it is a natural number and less than 10.

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

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

Step 1: Understand what a natural number is. Natural numbers are the positive integers starting from 1, like 1, 2, 3, 4, 5, and so on.
Step 2: Look at the set definition: {x | x is a natural number and x < 10}. This means we are looking for natural numbers that are less than 10.
Step 3: List the natural numbers less than 10: 1, 2, 3, 4, 5, 6, 7, 8, 9.
Step 4: Check if 5 is in the list of natural numbers less than 10. Yes, 5 is included.
Step 5: Conclude that 5 is a valid element of the set.

Set Notation – Understanding how to interpret set-builder notation and the conditions that define the elements of a set.
Natural Numbers – Recognizing the definition of natural numbers, which typically includes positive integers starting from 1.
Inequalities – Applying the concept of inequalities to determine if a number meets the criteria of being less than 10.