E = (integers \(\leq\) 20), P = (multiples of 3), Q = (multiples of 4), what are the elements of P'∩Q?
A
(12)
B
(4, 8, 16, 20)
C
(3, 6, 9, 15, 18)
D
(1,2,5,7,10,11,13,17,19)
E
(3, 4, 6, 8, 9, 12, 15, 16, 18, 20)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
P = {3, 6, 9, 12, 15, 18}
Q = {4, 8, 12, 16, 20}
P' = {1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20}
P' \(\cap\) Q = {4, 8, 16, 20}
Source: Myschool Past Questions Archive (Record #23482)