If A = {1, 2, 3} and B = {3, 4, 5}, what is A Δ B (symmetric difference)?
Practice Questions
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}
Questions & Step-by-Step Solutions
If A = {1, 2, 3} and B = {3, 4, 5}, what is A Δ B (symmetric difference)?
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}.
Symmetric Difference – The symmetric difference between two sets A and B, denoted A Δ B, consists of elements that are in either A or B but not in both.
