Let B =\ x|x is an even whole number less than 9) and C = \{3, 5, 6, 7\} Find the intersection BNC. Choose the correct answer below.
OA. \{0, 4, 7, 8\}
OB. (6)
OC. \{0, 2, 3, 4, 5, 6, 7, 8\}
OD. Ø
To find the intersection BNC, we need to find the elements that are common to both sets B and C.
B = {0, 2, 4, 6, 8}
C = {3, 5, 6, 7}
The elements that are common to both sets B and C are 6, which is the only number that is in both sets.
Therefore, the intersection BNC is {6}.
The correct answer is OB. (6).
To find the intersection BNC, we need to find the numbers that are present in both sets B and C.
Set B contains even whole numbers less than 9, so B = {0, 2, 4, 6, 8}.
Set C contains the numbers {3, 5, 6, 7}.
The intersection of B and C would be the numbers that are present in both sets.
Looking at the sets, we can see that the number 6 is the only number that appears in both B and C.
Therefore, the correct answer is OB. (6).
To find the intersection BNC, we need to see which elements are common to both sets B and C.
Set B consists of even whole numbers less than 9. So, B = {2, 4, 6, 8}.
Set C = {3, 5, 6, 7}.
Now, we need to find the common elements between sets B and C.
The intersection of B and C is given by B ∩ C.
Checking the elements of both sets, we see that the only common element is 6.
Therefore, the correct answer is OB: (6).