1.

Given an example of three sets A, B, C such that A ∩ C ≠ ϕ, B ∩ C ≠ ϕ, A ∩ C ≠ ϕ, and A ∩ B ∩ C = ϕ

Answer»

Let A = {1, 2} 

B = {2, 3} 

C = {1, 3, 4} 

A∩B = {2} 

A∩C = {1} 

B∩C = {3} 

A∩B∩C = {2}∩{1, 3, 4} = ø 

So the three sets are valid and satisfy the given conditions



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