Let A = \{5, 7, 9\}; B=\ x| xis an even whole number less than 11), C = \{2, 4, 6, 12\} and D=1x| xis an odd whole number less than 12). Find AnB.
Select the correct choice and fill in any answer boxes in your choice below.
A. A cap B=\ __ \ (Use a comma to separate answers as needed.)
OB. The solution is the empty set.
A. A cap B = {} (empty set)
To find the intersection of sets A and B (A ∩ B), we need to find the elements that are common to both sets.
Set A = {5, 7, 9}
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}.
The elements that are common to both A and B are { } (the empty set), as there are no even numbers in set A.
Therefore, the correct choice is:
B. The solution is the empty set.
To find the intersection of sets A and B (A ∩ B), we need to identify the elements that are common to both sets.
Set A = {5, 7, 9}
Set B = {x | x is an even whole number less than 11}
To find the elements that are common to both sets A and B, we need to determine which even numbers less than 11 are also in the set A.
From set B, we can identify the even numbers that are less than 11: {2, 4, 6, 8, 10}
Now, we need to check if any of these even numbers are also in set A. Looking at set A, we see that none of the elements (5, 7, 9) are even numbers less than 11.
So, the intersection of sets A and B (A ∩ B) is an empty set, denoted by {}.
Therefore, the correct choice is:
B. The solution is the empty set.