Question

Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9 } and C = { 3, 4, 5, 6 }.
Then (I) C' - U = ?
and (I) C - U = ?

Answer 1

Answer:

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

A={1,2,3,4}

B={2,4,6,8}

C={3,4,5,6}

(i) A

′

=U−A={5,6,7,8,9}

(ii) B

′

={1,3,5,7,9}

(iii) A∪C={1,2,3,4,5,6}

∴(A∪C)

′

={7,8,9}

(iv) A∪B={1,2,3,4,6,8}

(A∪B)

′

={5,7,9}

(v) We know (A

′

)

′

=A

⇒(A

′

)

′

={1,2,3,4}

(vi) B−C={2,8}

∴(B−C)

′

={1,3,4,5,6,7,9}

Step-by-step explanation:

hope it's helps :)