Question

6 If A= {1,2,3,4}, B= {3,4,5,6} and C= {1,2,6,7,8} Then show that
(ANB) U C = (AUC) (BUC)​

Answer 1

Step-by-step explanation:

$\small\boxed{Answer}$

A = {1,2,3,4}

B = {3,4,5,6}

C = {1,2,6,7,8}

(ANB) = {3,4}

(AUC) = {1,2,3,4,6,7,8}

(BUC) = {1,2,3,4,5,6,7,8}

Now ,

(ANB) U C = (AUC) N (BUC)

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

{1,2,3,4,6,7,8} = {1,2,3,4,6,7,8}

L H S = R H S