Question

If A = {1, 2, 3, 4}, B = {2, 4, 5, 6}, U = {1, 2, 3, 4, 5, 6, 7}, then A' ∩ B' = ________(a) ∅
(b) {1, 2, 3, 4, 5, 6}
(c) {7}
(d) {3, 4, 5, 6}

Answer 1

Hi ,

A = { 1,2,3,4 } ,

B = { 2,4,5,6 } ,

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

i ) A' = U - A

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

= { 5,6,7 } -------( 1 )

ii ) B' = U - B

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

= { 1 , 3 , 7 } ------( 2 )

iii ) A' intersection B'

= { 5,6,7 } intersection { 1,3,7 }

= { 7 }

Option ( c ) is correct .

I hope this helps you.

: )