Grade 8 - Mathematics 4.46 Symmetric Difference of Two sets - I

Symmetric difference of A and B is A B = (A - B)È
(B - A)

Example:
A = {1,2,3,4,5} and B = {2,4,6,8}, then find symmetric difference of A and B.

Solution:
A - B = {1,2,3,4,5} - {2,4,6,8}
= {1,3,5}
B - A = {2,4,6,8} - {1,2,3,4,5}
= {8}
(A - B) È (B - A) = {1,3,5} È {8}
= {1,3,5,8}
The Symmetric difference of A and B is {1,3,5,8}

Directions: Solve the following problems. Also write at least five examples of your own.