If x and y are 2 sets such that n (x) is 17, n (y) is 23, n (xUy) is 38, find x intersection y

n (x intersect y) = 2.

Step-by-step explanation:

I think you mean n (x intersect y).

n (x) + n (y) = 17 + 23 = 40.

But n (x U y) = 38 so 40 - 38 = 2 elements are common to set x and set y.

Therefore n (x ∩ y) = 2.