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Q.

Let I be set of integers, N = the set of non-negative integers, Np =the set of non-positive integers. Thenthe sets A and B satisfying A ∩ B = ∅ are

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a

A = I ~ Np, B = N ~ Np

b

A = I ~ N, B = I ~ Np

c

A = N ∆ Np, B = I ~ Np

d

A=N ∆ Np,B=(I~ N) ∪ 0

answer is B.

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Detailed Solution

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.
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