Question

Let U= {1, 2, 3, 4,5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B= {2, 4, 6, 8} and C={3, 4, 5, 6} Find $(A \cup B)^{'}$

Answer 1

A U B = {1,2,3,4} U {2,4,6,8}

         ={1,2,3,4,6,8}

(A U B)' = U -(A U B)

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

            ={5,7,9}

hope its helpfull

Answer 2

first of all, we have to find $(A\cup B)$
we know, A U B is said as A union B. A union B is the set of all distinct objects or elements that are in both A or B.

so, $A\cup B$ = {1,2,3,4} U {2, 4, 6, 8}
= {1, 2, 3, 4, 6, 8}

now, $(A\cup B)'$ = U - $A\cup B$

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

= {5, 7, 9}

hence, $(A\cup B)'$ = {5, 7 9}