Let I be set of integers, N = the set of non-negative integers, Np =the set of non-positive integers. Then
the sets A and B satisfying A ∩ B = ∅ are
A = I ~ Np, B = N ~ Np
A = I ~ N, B = I ~ Np
A = N ∆ Np, B = I ~ Np
A=N ∆ Np,B=(I~ N) ∪ 0
I~ N={…–3,–2,–1}, I~ Np={1,2,3…},
N~Np={1,2,…},NΔNp=N~Np∪Np~N={0,1,2,…}(I~N)∪{0}={…,−3,−2,−1,0}
The disjoint sets are I ~ N and I ~ Np.