If F = {x | x is an even number between 1 and 10}, what is F?

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Question: If F = {x | x is an even number between 1 and 10}, what is F?

Options:

Correct Answer: {2, 4, 6, 8}

Solution:

The even numbers between 1 and 10 are 2, 4, 6, and 8. Therefore, F = {2, 4, 6, 8}.

If F = {x | x is an even number between 1 and 10}, what is F?

If F = {x | x is an even number between 1 and 10}, what is F?

Step 1: Understand what the question is asking. It wants to find a set of even numbers between 1 and 10.
Step 2: Identify what even numbers are. Even numbers are those that can be divided by 2 without a remainder.
Step 3: List the numbers between 1 and 10. These numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
Step 4: Go through the list and pick out the even numbers. The even numbers from the list are 2, 4, 6, 8, and 10.
Step 5: Since the question specifies numbers between 1 and 10, we exclude 10 from our list.
Step 6: The remaining even numbers are 2, 4, 6, and 8.
Step 7: Write the final answer in set notation. Therefore, F = {2, 4, 6, 8}.

Set Notation – Understanding how to define a set using set-builder notation.
Even Numbers – Identifying even numbers within a specified range.
Number Ranges – Recognizing the limits of a given range (in this case, between 1 and 10).