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

Practice Questions

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

Questions & Step-by-Step Solutions

If D = {1, 2}, 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. In this case, D = {1, 2}.
  • Step 3: List the elements of D. The elements are 1 and 2.
  • Step 4: Check the options given to see if they are subsets of D.
  • Step 5: Determine if the set {3} contains any elements from D. It does not, because 3 is not in {1, 2}.
  • Step 6: Conclude that {3} is NOT a subset of D because it contains an element that is not in 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.
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