A number cube has faces numbered 1 to 6. What is true about rolling the number cube one time? Select three options. S = {1, 2, 3, 4, 5, 6} A. If A is a subset of S, A could be {0, 1, 2}. B. If A is a subset of S, A could be {5, 6}. C. If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}. D. If a subset A represents the complement of rolling an even number, then A = {1, 3}.

Question

Mathematics

Graham

28 March, 05:21

A number cube has faces numbered 1 to 6. What is true about rolling the number cube one time? Select three options. S = {1, 2, 3, 4, 5, 6} A. If A is a subset of S, A could be {0, 1, 2}. B. If A is a subset of S, A could be {5, 6}. C. If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}. D. If a subset A represents the complement of rolling an even number, then A = {1, 3}.

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Answers (2)

Know the Answer?

Nash Sullivan · Answer 1

Nash Sullivan 28 March, 06:24

0

its actually C and D

NOT B

Alejandro Lam · Answer 2

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.