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If C = {x | x is an even integer less than 10}, what is the set C?

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Question: If C = {x | x is an even integer less than 10}, what is the set C?

Options:

  1. {0, 2, 4, 6, 8}
  2. {2, 4, 6, 8, 10}
  3. {1, 3, 5, 7, 9}
  4. {-2, -4, -6, -8}

Correct Answer: {0, 2, 4, 6, 8}

Solution: 

The even integers less than 10 are 0, 2, 4, 6, and 8.

If C = {x | x is an even integer less than 10}, what is the set C?

Practice Questions

Q1
If C = {x | x is an even integer less than 10}, what is the set C?
  1. {0, 2, 4, 6, 8}
  2. {2, 4, 6, 8, 10}
  3. {1, 3, 5, 7, 9}
  4. {-2, -4, -6, -8}

Questions & Step-by-Step Solutions

If C = {x | x is an even integer less than 10}, what is the set C?
  • Step 1: Understand what an even integer is. An even integer is any integer that can be divided by 2 without leaving a remainder.
  • Step 2: Identify the range we are interested in. We need even integers that are less than 10.
  • Step 3: List the even integers starting from 0 and going up to just below 10. These are: 0, 2, 4, 6, 8.
  • Step 4: Compile the list of even integers less than 10 into a set. The set C will be {0, 2, 4, 6, 8}.
  • Set Notation – Understanding how to define a set using set-builder notation.
  • Even Integers – Identifying even integers and their properties.
  • Inequalities – Applying the concept of 'less than' to determine the range of integers.
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