Question

6. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be the universal set and let
A = {2, 3, 4, 5, 6} and B = {3, 5, 7, 8} be its subsets.
Verify that: (A U B)' = (A' ∩ B')​

Answer 1

Step-by-step explanation:

L.H.S:

( A U B) = { 2,3,4,5,6,7,8}

( A U B)' = { 1,9.10} -- 1

R.H.S:

A' = { 1,7,8,9,10}

B' = { 1,2,4,6,9,10}

( A' intersection B') = { 1,9,10}