Question

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B={3, 4, 5, 6}, find (A U B)'
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Answer 1

Step-by-step explanation:

Given:

U={1,2,3,4,5,6,7,8,9}

A={1,2,3,4}

B={3,4,5,6}

(A U B) = {1,2,3,4,5,6}

Hence, (A U B)' = {7,8,9}

Answer 2

Given :-

• If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B={3, 4, 5, 6}.

To find :-

• (A U B)'

Solution :-

• Union of set

→ The union of A and B is the set of all those elements which belong either to A or to B or to both both A and B

• Complement of set

→ The complement of a subset A of universal set U is the set of all elements of U which are not the elements of A

Now, according to question

• U = {1, 2, 3, 4, 5, 6, 7, 8, 9}

• A = {1, 2, 3, 4}

• B = {3, 4, 5, 6}

Firstly we have to find (A U B)

→ A U B = {1, 2, 3, 4, 5, 6}

Now,

• (A U B)' = {7, 8, 9}

Hence,

• Value of (A U B)' = {7, 8, 9}