Let A fa, b,c. B [a, b, d), and C tb, d,e. Find the union of A and B, and then the union of this with C. Also, find the union of the B and C and then the union of this with A. Try to formulate what you have observed.
Accepted Solution
A:
Answer: A ∪ B = {a, b, c, d} (A ∪ B) ∪ C = = {a, b, c, d, e} B ∪ C = = {a, b, d, e} (B ∪ C) ∪ A = = {a, b, c, d, e} Step-by-step explanation:A = {a, b, c} B = {a, b, d} C = {b, d, e}Union means "to join" so combine the sets to form a union.A ∪ B = {A & B} = {a, b, c & a, b, d} = {a, b, c, d} because we do not need to list a & b twice(A ∪ B) ∪ C = {(A ∪ B) & C) = {a, b, c, d & b, d, e} = {a, b, c, d, e} because we do not need to list b & d twiceB ∪ C = {A & B} = {a, b, d & b, d, e} = {a, b, d, e} because we do not need to list b & d twice(B ∪ C) ∪ A = {(B ∪ C) & A) = {a, b, d, e & a, b, c} = {a, b, c, d, e} because we do not need to list a & b twice