Question

If A = { 0,1,2,3,4,5 } and universal set = {-2,-1,0,1,2,3,4,5,6,7 }, find the complement of A.​

Answer 1

Step-by-step explanation:

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

A = {1,2,5, 7}

B = {3,4,5,6}

(AUB' =U - (A UB)

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

A'OB' = (U - A)n(U - B)

= {3,4,6}n{1,2,7}

= ø

Hence (AUB) = A'NB'.

Answer 2

ALSO IN ATTACHMENT

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

Given, universal set, U={1,2,3,4,5,6,7}A={1,2,5,7}

Given, universal set, U={1,2,3,4,5,6,7}A={1,2,5,7}B={3,4,5,6}

Given, universal set, U={1,2,3,4,5,6,7}A={1,2,5,7}B={3,4,5,6}(A∪B)′=U−(A∪B)

Given, universal set, U={1,2,3,4,5,6,7}A={1,2,5,7}B={3,4,5,6}(A∪B)′=U−(A∪B)={1,2,3,4,5,6,7}−{1,2,3,4,5,6,7}

Given, universal set, U={1,2,3,4,5,6,7}A={1,2,5,7}B={3,4,5,6}(A∪B)′=U−(A∪B)={1,2,3,4,5,6,7}−{1,2,3,4,5,6,7}=ϕ

Given, universal set, U={1,2,3,4,5,6,7}A={1,2,5,7}B={3,4,5,6}(A∪B)′=U−(A∪B)={1,2,3,4,5,6,7}−{1,2,3,4,5,6,7}=ϕA′∩B′=(U−A)n(U−B)

Given, universal set, U={1,2,3,4,5,6,7}A={1,2,5,7}B={3,4,5,6}(A∪B)′=U−(A∪B)={1,2,3,4,5,6,7}−{1,2,3,4,5,6,7}=ϕA′∩B′=(U−A)n(U−B)={3,4,6}n{1,2,7}

Given, universal set, U={1,2,3,4,5,6,7}A={1,2,5,7}B={3,4,5,6}(A∪B)′=U−(A∪B)={1,2,3,4,5,6,7}−{1,2,3,4,5,6,7}=ϕA′∩B′=(U−A)n(U−B)={3,4,6}n{1,2,7}=ϕ

Given, universal set, U={1,2,3,4,5,6,7}A={1,2,5,7}B={3,4,5,6}(A∪B)′=U−(A∪B)={1,2,3,4,5,6,7}−{1,2,3,4,5,6,7}=ϕA′∩B′=(U−A)n(U−B)={3,4,6}n{1,2,7}=ϕHence (A∪B)′=A′∩B′.