Answer:
The correct answers are the options B. ; C. ; D.
Step-by-step explanation:
A numbered cube has face from 1 to 6.
The set S = {1, 2, 3, 4, 5, 6}.
A. If A is a subset of S, A could be {0, 1, 2}. This statement is false as A is a subset of B and A contains the element {0} which is not in S.
B. If A is a subset of S and A is given by {5, 6}. This statement is true as A elements of A are also in S.
C. If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}. This statement is even true as A should contain all numbers from 1 to 6 except 5.
D. If a subset A represents the complement of rolling an even number, then A = {1, 3}. This statement is true as the numbers complement of an even number are 1, 3 and 5.
