Let A = \{3, 5, 7\}; B =\ x|x is an even whole number less than 11), C = \{2, 8, 10, 12\} and D =\ x|x is an odd whole number less than 12). Find A cap B.
Select the correct choice and fill in any answer boxes in your choice below.
OA. A cap B=\ Box\ (Use a comma to separate answers as needed.)
OB. The solution is the empty set.
The intersection of sets A and B means finding the elements that are common to both sets.
A = {3, 5, 7}
B = {2, 4, 6, 8, 10}
The only number that is present in both sets A and B is 6.
Therefore, A cap B = {6}
So, the correct choice is:
OA. A cap B = {6}
To find the intersection, or the cap (∩), of sets A and B, we need to find the elements that are common to both sets.
Set A = {3, 5, 7}
Set B = {x | x is an even whole number less than 11}
The even whole numbers less than 11 are: 2, 4, 6, 8, 10.
Checking for common elements between sets A and B, we can see that the intersection of A and B is the empty set.
Therefore, the correct answer is:
OB. The solution is the empty set.
To find the intersection (or intersection set) between set A and set B (denoted as A ∩ B), you need to identify the elements that are common to both sets. In this case, A represents the set {3, 5, 7} and B represents the set of even whole numbers less than 11.
First, let's list out the even whole numbers less than 11: 2, 4, 6, 8, 10.
Now, we need to compare this list with the elements in set A {3, 5, 7}. Since there are no elements that are common to both sets (none of the numbers in set A are even), the intersection set A ∩ B is empty. Hence, the correct choice is:
OB. The solution is the empty set.