Question

2.
If u = (2,3,4,5), A = {2,4} and B = (3, 4), then verify the following laws.
iii) (AUB)' = A' B'​

Answer 1

Answer:

(AUB)'={5}

A'B'={3,5}{2,5}

Answer 2

Answer:

Data:

         u = {2,3,4,5},

A = {2,4}  and   B = {3,4}

L.H.S:

         (A∪B)'

A∪B = {2,4} U {3,4}

A∪B = {2,3,4}

(A∪B)' = U - (AUB)

(A∪B)' = {2,3,4,5} - {2,3,4}

(A∪B)' = {5}

R.H.S:

            A'∩B'

A' = U - A

A' = {2,3,4,5} - {2,4}

A' = {3,5}

B' = U - B

B' = {2,3,4,5} - {3,4}

B' = {2,5}

A'∩B' = {3,5} {2,5}

A'∩B' = {5}

Hence proved that:

                         L.H.S = R.H.S

So, we verified that this law is De-Morgan's Law.

Step-by-step explanation:

So,  this is your answer.

And I add intersection symbol on right side because by mistake you did not add that symbol and I put to complete that law.

Hopes that it helps you.