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If D = {1, 2, 3}, which of the following is not a subset of D?

Practice Questions

Q1
If D = {1, 2, 3}, which of the following is not a subset of D?
  1. {1, 2}
  2. {2, 3}
  3. {1, 2, 3}
  4. {4}

Questions & Step-by-Step Solutions

If D = {1, 2, 3}, which of the following is not a subset of D?
  • Step 1: Understand what a subset is. A subset is a set that contains some or all elements from another set.
  • Step 2: Identify the original set D, which is {1, 2, 3}.
  • Step 3: Look at the options given to see if they contain only elements from set D.
  • Step 4: Check the set {4}. Notice that 4 is not in the original set D.
  • Step 5: Conclude that since {4} does not contain any elements from D, it is not a subset of D.
  • Subset Definition – A subset is a set that contains only elements from another set.
  • Empty Set – The empty set is a subset of every set, including D.
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