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

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

Options:

Correct Answer: {1, 2, 5, 6}

Solution:

The symmetric difference is the set of elements in either set R or set S but not in both, which is {1, 2, 5, 6}.

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

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.