If A = { 1, 2, 3, 4, 5, 6}, B = { 2, 4, 6, 8 }. Find (A – B) ⋃ (B – A).

Answer Details

To find the set (A - B) ⋃ (B - A) or the union of the set difference between A and B and the set difference between B and A, we can follow a few simple steps.
1. Find the set difference between A and B (A - B): - A - B includes all elements that are in set A but not in set B. - In this case, A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}. - Subtracting the common elements from set A, we have A - B = {1, 3, 5}.
2. Find the set difference between B and A (B - A): - B - A includes all elements that are in set B but not in set A. - In this case, A is still {1, 2, 3, 4, 5, 6} and B is still {2, 4, 6, 8}. - Subtracting the common elements from set B, we have B - A = {8}.
3. Take the union (⋃) of the two sets: - The union of two sets includes all elements that are in either set. - In this case, the union of (A - B) and (B - A) is {1, 3, 5} ⋃ {8}. - Combining these two sets, we have (A - B) ⋃ (B - A) = {1, 3, 5, 8}.
Therefore, the correct answer is {1, 3, 5, 8}.