Question

If A={1,2,3,4,5},B={2,4,6,8} and C= {3,4,5,6},
Show that :(A−B)U(B−A).

Answer 1

To find the result of (A - B) U (B - A), you need to calculate the difference between sets A and B, then the difference between sets B and A, and finally take the union of the two resulting sets. (A - B) U (B - A) = {1,3,5,6,8}.

Step-by-step explanation:

To find the result of the expression (A - B) U (B - A), we first need to calculate the difference between sets A and B. A - B will give us the elements that are in A but not in B, which in this case is {1,3,5}.

Next, we calculate the difference between sets B and A, which will give us the elements that are in B but not in A, and this is {6,8}.

Finally, we take the union of these two sets, which means combining all the elements from both sets together.

The union of {1,3,5} and {6,8} is {1,3,5,6,8}. Therefore, (A - B) U (B - A) = {1,3,5,6,8}.