Answer
The intersection of N and P would have elements that are multiples of 6. (Thus, intersection = {x | x is a multiple of 6}.)
Work Step by Step
N = {x | x is a multiple of 2}
P = {x | x is a multiple of 6}
N = {2, 4, 6, 8, 10, 12, 14, ...}
P = {6, 12, 18, . . . }
The intersection on N and P is the set of items in both sets (such as 6 and 12, as examples). Thus, the intersection of N and P would have elements that are multiples of 6.