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

Practice Questions

Q1
If F = {x | x is an even number between 1 and 10}, what is F?
  1. {2, 4, 6, 8}
  2. {1, 3, 5, 7, 9}
  3. {2, 4, 6, 8, 10}
  4. {0, 2, 4, 6, 8}

Questions & Step-by-Step Solutions

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}.
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