If set R = {1, 2, 3, 4} and set S = {3, 4, 5, 6}, what is the symmetric differen

Practice Questions

Q1
If set R = {1, 2, 3, 4} and set S = {3, 4, 5, 6}, what is the symmetric difference of sets R and S?
  1. {1, 2, 5, 6}
  2. {3, 4}
  3. {1, 2, 3, 4, 5, 6}
  4. {3, 4, 5}

Questions & Step-by-Step Solutions

If set R = {1, 2, 3, 4} and set S = {3, 4, 5, 6}, what is the symmetric difference of sets R and S?
  • Step 1: Identify the elements in set R, which are {1, 2, 3, 4}.
  • Step 2: Identify the elements in set S, which are {3, 4, 5, 6}.
  • Step 3: Find the elements that are in set R but not in set S. These are {1, 2}.
  • Step 4: Find the elements that are in set S but not in set R. These are {5, 6}.
  • Step 5: Combine the results from Step 3 and Step 4. This gives us {1, 2, 5, 6}.
  • Step 6: The final result, which is the symmetric difference of sets R and S, is {1, 2, 5, 6}.
  • Symmetric Difference – The symmetric difference of two sets is the set of elements that are in either of the sets but not in their intersection.
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