Bot
Use the following information to answer the question.
Suppose U = {0, 1, 2, 3, 4, 5, 6}, A = {2, 4, 6}, and B = {1, 2, 3}. Choose whether each statement is true or false.
A subset U
True
False
True
To determine whether the statement "A subset U" is true or false, we need to check if all the elements of set A are also elements of set U.
In this case, set A is {2, 4, 6}. Let's compare the elements of A with the elements of U:
- 2 is an element of U
- 4 is an element of U
- 6 is an element of U
Since all the elements of A are also elements of U, the statement "A subset U" is true.
True.
A subset U means that every element in A is also an element in U. In this case, A = {2, 4, 6} and U = {0, 1, 2, 3, 4, 5, 6}, and every element in A is indeed included in U. Therefore, the statement "A subset U" is true.
Suppose U = {0, 1, 2, 3, 4, 5, 6}, A = {2, 4, 6}, and B = {1, 2, 3}. Choose whether each statement is true or false.
B subset A
True False
False.
The statement "B subset A" is false because not all elements of B are included in A. While 2 is an element common to both A and B, the elements 1 and 3 in B are not in A. Thus, B is not a subset of A.