Math, asked by iMxster, 9 months ago

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Answered by MysticPetals
2

Question : -

Evaluate The following set problem : -

U = { 7,8,9,10,11,12,13 }

A = {8,10,12}

B = { 10,12,13}

C = { 7,8}

A U B = { 8, 10, 12 } U { 10,12,13}

=> (A U B) = { 8,10,12,13}

____________________

A B = { 8,10,12 } ∩ { 10,12,13}

=> ( AB) = { 10 ,12}

____________________

A U B' =?

B' = U - B = { 7,8,9,10,11,12,13 } - { 10,12,13}

B' = { 7,8,9,11}

A U B' = {8,10,12} U { 7,8,9,11}

=> A U B' = {7,8,9,10,11,12}

____________________

( A U B' ) C =?

A U B' = {7,8,9,10,11,12}

( A U B' ) ∩ C = {7,8,9,10,11,12} ∩ { 7,8}

( A U B' ) ∩ C = {7,8}

____________________

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