Question

U = {1,2,3,4,5,6,7}
{ x : x is a prime number < 7 } and B = { 1, 2, 3, 6 }
Write A in Roster form Verify ( A U B )l = Al∩ Bl

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}

(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

′

.