Question

If ξ={1 , 2 , 3 , . . . , 8 , 9 , 10}

A={x : x is multiples of 3},
B={x : x is a prime numbers} and
C={x : x<6},
then what is (A⋃B)ʹ⋂C ?

Answer 1

{1,4}

Explanation:

A={3,6,9}

B={2,3,5,7}

C={1,2,3,4,5}

AUB={2,3,5,6,7,9}

(AUB)'={1,4,8,10}

(AUB)'⋂C={1,4}

Answer 2

Explanation:

A = {3 , 6 , 9}

B = {2,3,5,7}

A ∪ B = { 2,3,5,6,7,9}

(A∪B)' - is set of all elements in universal set that are not in (A∪B)

(A∪B)' = {1,4,8,10}

C = {1,2,3,4,5}

(A∪B)' ∩C = {1 , 4}