A and B are two sets, then A – B = ϕ, if and only if
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A and B are two sets, then A – B = ϕ, if and only if A = B
⇒x∈A∩B, [∵A∪B=A∩B]
⇒x∈A and x∈B,∴A⊆B
Similarly, x∈B⇒x∈A,B⊆A
Now A⊆B, B⊆A ⇒A=B
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