Question

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. A B

Answer 1

The statements are not provided. Could you please provide the statements for me to determine whether they are true or false?

Answer 2

A half circle with line under B

Answer 3

Given that U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 3, 5, 7}, and B = {4, 5, 6}, let's determine whether each statement is true or false.

1. A ⊆ U (A is a subset of U)
True, because all the elements of A are also elements of U.

2. B ⊆ U (B is a subset of U)
True, because all the elements of B are also elements of U.

3. A ∩ B = {} (Intersection of A and B is an empty set)
False, because the intersection of A and B is {5}, which is not an empty set.

4. A ∪ B = {1, 3, 4, 5, 6, 7} (Union of A and B)
False, because the union of A and B is {1, 3, 4, 5, 6, 7}, which also includes the element 4 that is not in A.

Therefore, the statements are as follows:
1. True
2. True
3. False
4. False

Answer 4

So what is the final answer

Answer 5

The final answer is as follows:

1. A ⊆ U (A is a subset of U) - True
2. B ⊆ U (B is a subset of U) - True
3. A ∩ B = {} (Intersection of A and B is an empty set) - False
4. A ∪ B = {1, 3, 4, 5, 6, 7} (Union of A and B) - False