Question

universal set
= (2,3,4,5,6,7,8,9,10,11) sets a = (2,3,5,6,7) b = ( 4,6,8,9) find 1 aub 2 anb 3 a-b 4 b - a 5 a1 6 b 1​

Answer 1

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

A′∩B′=(U−A)n(U−B)

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

=ϕ

Hence (A∪B)′=A′∩B′.

Answer 2

$\huge \tt \red {answer}$

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

A

′

∩B

′

=(U−A)n(U−B)

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

=ϕ

Hence (A∪B)

′

=A

′

∩B

′