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Question

Find sets A, B and C such that ABAC and  BC are non-empty sets and ABC=ϕ


Solution

To find sets A, B and C such that ABϕ, AC=ϕ and BC=ϕ and ABC=ϕ

Take A = {1,2,3}

B= {2,4,6}

and C = {3,4,7}

Then, 

AB= {2}

ABϕ

AC= {3}

ACϕ

BC= {4}

BCϕ

Howver A, B and C have no elements in common.

ABC=ϕ

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