Question

let U = {1, 2,3,4,5,6,7} ,A= {2, 4,6} , B= {3, 5} and C = {1, 2,4,7} find a) A'U( B intersection C) b) (B-A) U (A-C)
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Answer 1

Given :

U = {1, 2, 3, 4, 5, 6, 7}

A = { 2, 4, 6 }

B = {3, 5}

C = {1, 2, 4, 7}

To Find :

• A U (B $\cap$ C)
• (B - A) U (A - C)

Solution :

→ A U (B $\cup$ C)

{ 2, 4, 6 } U {(3, 5} $\cap$ {1, 2, 4, 7})

{2, 4, 6} U $\phi$

{2, 4, 6}

A

→ (B - A) U (A - C)

({3, 5} - { 2, 4, 6 }) U ({ 2, 4, 6 } - {1, 2, 4, 7})

{3, 5} U {6}

{3, 5, 6}