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If A = {1, 2, 3} and B = {3, 4, 5}, what is A Δ B (symmetric difference)?
If A = {1, 2, 3} and B = {3, 4, 5}, what is A Δ B (symmetric difference)?
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Q1
If A = {1, 2, 3} and B = {3, 4, 5}, what is A Δ B (symmetric difference)?
{1, 2}
{4, 5}
{1, 2, 4, 5}
{3}
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The symmetric difference A Δ B includes elements in either A or B but not in both, which are {1, 2, 4, 5}.
Questions & Step-by-step Solutions
1 item
Q
Q: If A = {1, 2, 3} and B = {3, 4, 5}, what is A Δ B (symmetric difference)?
Solution:
The symmetric difference A Δ B includes elements in either A or B but not in both, which are {1, 2, 4, 5}.
Steps: 6
Show Steps
Step 1: Identify the elements in set A, which are {1, 2, 3}.
Step 2: Identify the elements in set B, which are {3, 4, 5}.
Step 3: Find the elements that are in A but not in B. These are {1, 2}.
Step 4: Find the elements that are in B but not in A. These are {4, 5}.
Step 5: Combine the results from Step 3 and Step 4. This gives us {1, 2, 4, 5}.
Step 6: The final result, A Δ B, is {1, 2, 4, 5}.
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