If set R = {1, 2, 3, 4, 5} and set S = {4, 5, 6, 7}, what is the symmetric diffe

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Question: If set R = {1, 2, 3, 4, 5} and set S = {4, 5, 6, 7}, what is the symmetric difference of sets R and S?

Options:

Correct Answer: {1, 2, 3, 6, 7}

Solution:

The symmetric difference of sets R and S includes elements that are in either set but not in both. Thus, it is {1, 2, 3, 6, 7}.

If set R = {1, 2, 3, 4, 5} and set S = {4, 5, 6, 7}, what is the symmetric difference of sets R and S?

If set R = {1, 2, 3, 4, 5} and set S = {4, 5, 6, 7}, what is the symmetric difference of sets R and S?

Step 1: Identify the elements in set R, which are {1, 2, 3, 4, 5}.
Step 2: Identify the elements in set S, which are {4, 5, 6, 7}.
Step 3: Find the elements that are in set R but not in set S. These are {1, 2, 3}.
Step 4: Find the elements that are in set S but not in set R. These are {6, 7}.
Step 5: Combine the unique elements from both sets. This gives us {1, 2, 3} from set R and {6, 7} from set S.
Step 6: Write the final result as the symmetric difference, which is {1, 2, 3, 6, 7}.

Symmetric Difference – The symmetric difference of two sets includes elements that are in either set but not in both.