1.

If A = { 10,20,30,40,50,60,70} , B = { 50,60,70,80} and C = { 30,40,90} Verify that ((A∪ ) ∩ )) = (A∩ ) ∪ ( ∩ )

Answer»

Given A = {10, 20, 30, 40, 50, 60, 70}

B = {50, 60, 70, 80}

C = {30, 40, 90}

∴ A ∪ B  = {10, 20, 30, 40, 50, 60, 70, 80}

A ∩ C = {30, 40}

and B ∩ C = ϕ

Now, (A ∪ B) ∩ C = {30, 40}.

And (A ∩ C) ∪ (B ∩ C) = {30, 40} ∪ ϕ = {30, 40}

Therefore, (A ∩ B) ∪ C = (A ∩ C) ∪ (B ∩ C).


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