Suppose U = {1, 2, 3, 4, 5, 6, 7, 8}, A = (1, 3, 5, 7}, and B = {4, 5, 6}. Tell whether each statement is true or false.
B subset of or equal to U
(1 point)
Responses
true
true
false
false
To determine whether B is a subset of or equal to U, we need to check if every element in B is also in U.
The set B = {4, 5, 6}, and the set U = {1, 2, 3, 4, 5, 6, 7, 8}.
As we can see, all the elements in B (4, 5, 6) are also in U. Therefore, B is a subset of U.
So, the statement "B subset of or equal to U" is true.
To determine whether each statement is true or false, we need to compare the elements in set B with the elements in set U.
Statement: B subset of or equal to U
To determine if B is a subset of U, we need to check if every element in B is also in U.
Here are the elements in B: {4, 5, 6}
Here are the elements in U: {1, 2, 3, 4, 5, 6, 7, 8}
1. Is 4 in U? Yes.
2. Is 5 in U? Yes.
3. Is 6 in U? Yes.
Since all the elements in B are also in U, we can say that B is a subset of U.
Now, to determine if B is equal to U, we also need to check if all the elements in U are in B.
Here are the elements in B: {4, 5, 6}
Here are the elements in U: {1, 2, 3, 4, 5, 6, 7, 8}
1. Is 1 in B? No.
2. Is 2 in B? No.
3. Is 3 in B? No.
4. Is 7 in B? No.
5. Is 8 in B? No.
Since not all the elements in U are in B, we can say that B is not equal to U.
Therefore, the statement "B subset of or equal to U" is false.