2. Combined sets.
Of the two sets P and Q we can establish a new set of C whose membership consists of the elements of P and Q. The set K is called set combination of P and Q. The set combination is written: K = P ∪ Q, reads: The set of K equal to the combined P Q or set of K equal to the combined P and Q. When written in a way "set shaper": K = {x | x ∈ P or x ∈ Q}.
For example:
a. If A = {p, q, r} and B = {k, l, m, n, o, p, q, r}, then A ∪ B = {p, q, r, k, l, m, n , o}
b. If C = {-1, 0, 1, 2, 3, 4, 6} and D = {0, 2, 4, 6}, then C ∪ D = {-1, 0, 1, 2, 3, 4 , 6}
c. If K = {the boys Mr. Amir} and L = {girls pack Amir
then K ∪ L = {children} pack Amir
d. If P = {2, 3, 5, 7,} and P = {2, 3, 5, 7}, then P ∪ Q = {2, 3, 5, 7,}