Let A = \{1, 5, 7\} ,B=\ x|* is an even whole number less than 11), C = \{4.6 * 0.8 * 0.12\} and D=\ x| xis an odd whole number less than 12). Find B cap D
Select the correct choice and fill in any answer boxes in your choice below.
OA. B cap D=\ |\ (Use a comma to separate answers as needed.)
B. The solution is the empty set.
The set B consists of even whole numbers less than 11, so B = {2, 4, 6, 8, 10}.
The set D consists of odd whole numbers less than 12, so D = {1, 3, 5, 7, 9, 11}.
To find the intersection or "cap" of B and D, we need to find the elements that are common to both sets.
B cap D = {5}.
Therefore, the correct choice is:
OA. B cap D = {5}
To find the intersection of sets B and D, we need to identify the elements that are present in both sets.
Set B is defined as the set of even whole numbers less than 11. Therefore, the elements of B are {2, 4, 6, 8, 10}.
Set D is defined as the set of odd whole numbers less than 12. Therefore, the elements of D are {1, 3, 5, 7, 9, 11}.
To find the intersection (B ∩ D), we need to identify the common elements in sets B and D.
The common elements between B and D are {5, 7}. Hence,
B ∩ D = {5, 7}
Therefore, the correct choice is:
A. B cap D = {5, 7}
To find the intersection (cap) of sets B and D, we need to identify the elements that are common to both sets.
Set B is defined as the set of even whole numbers less than 11.
B = {x | x is an even whole number less than 11} = {2, 4, 6, 8, 10}
Set D is defined as the set of odd whole numbers less than 12.
D = {x | x is an odd whole number less than 12} = {1, 3, 5, 7, 9, 11}
To find the intersection of sets B and D, we need to find the elements that are present in both sets.
B cap D = {x | x is an element of B and an element of D}
The elements that are present in both sets B and D are 5 and 7.
Therefore, B cap D = {5, 7}
So, the correct answer is OA. B cap D = {5, 7}.