Final answer:
The correct statement regarding the sets A = (a,b,c) and B = (c,a) is B. B⊆A, indicating that B is a subset of A. The intersection and union are A∩B = {a,c} and A∪B = {a,b,c}, respectively.
Step-by-step explanation:
The question involves set theory, specifically the relationship between two sets A and B. We are given two sets A = (a,b,c) and B = (c,a) and asked to determine which of the following statements is true. By analyzing the elements of both sets, we note that the set B is entirely contained within set A, making B a subset of A. No element of B is outside of A. Hence, the correct option is B. B⊆A.
Also, by definition, the intersection of two sets, denoted as A∩B, includes all elements that are in both sets. In this case, A∩B = {a,c} as both a and c are elements of set A and B. As for the union of two sets, A∪B, it consists of all unique elements that are in either set, so A∪B = {a,b,c}.