Question

Draw a Venn diagram for the symmetric difference of the sets A and B.

Short answer

We know that\(A \oplus B = \left( {A \cup B} \right) - \left( {A \cap B} \right)\).

Step-by-step solution

Union

We know that the definition of union,

If A and B are two sets, then A union B will have all the elements of set A and set B.

intersection

We know that the definition of intersection

If A and B are two sets, then intersection B will have common elements of set A and set B.

Symmetric difference

Symmetric difference between A and B, a set that affects that element in A or B, but not in both A and B.