Answer:
(a) A and B are dependent.
(b) C and D are dependent.
(c) E and F are dependent.
Step-by-step explanation:
Two sets are said to be independent if the intersection of the two set is empty. That is the sets are disjoint.
Let's examine the situations to determine if they are independent or not.
(a) A = {2, 4, 6, . . . , 10, . . . , 20, . . .} and B = {5, 10, 15, . . . , 20, . . .}. Since A n B = {10, 20, . . .}, then the sets are dependent
(b) C = {10, 11, 12, . . . , 31, . . . , 62, . . . , 93, . . .} and D = {31, 62, 93}. Since C n D = {31, 62, 93}, then the sets are dependent.
(c) E = {5, 7, 11, . . .} and F = {5, 15, . . .}. Since E n F = {5}, then the set are dependent.
Thus
(a) A and B are dependent.
(b) C and D are dependent.
(c) E and F are dependent.
