Given the following, determine the set (B n C)'. U= x B = x C = x E N and x < 10

Question

Given the following, determine the set (B n C)'.

U= x EN and x < 10
B = x EN and x is even and x< 10
C = x E N and x < 10

Answer 1

Explanation:

U=x

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

B=x

or

B={2,4,6,8}

C=x∈N and x<10

or

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

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}