Question

if u={1,2,3,4,5,6,7,8,9} A={1,2,3,4} B={4,5,6} then find (A-B)'​ and (AuB)'

Answer 1

Answer:

Step-by-step explanation:

Given,

u = {1,2,3,4,5,6,7,8,9}, A = { 1,2,3,4 }, B = { 4,5,6 }

(1 ) ( A - B)'

A - B = {1,2,3,4} - {4,5,6} = { 1,2,3}

( A - B )' = u - (A - B ) = {1,2,3,4,5,6,7,8,9} - { 1,2,3} = { 4,5,6,7,8,9}

( 2 ) ( A ∪ B )'

A∪ B = {1,2,3,4} ∪ {4,5,6} = { 1,2,3,4,5,6 }

( A ∪B)' = u - (A ∪B) = {1,2,3,4,5,6,7,8,9} - {1,2,3,4,5,6} = {7,8,9}