Question

(3) U = {1, 2, 3, 7, 8, 9, 10, 11, 12}
P = {1, 3, 7, 10}
then (i) show the sets U, P and P' by Venn diagram. (ii) Verify (P')' = P​

Answer 1

Here

p' = n( U) - n( p)

= { 1,2,3,7,8,9,10,11,12} - { 1,3,7,10}

= { 2,8,9,11,12}

Now,

p''= n(p) - ( p')

p" = { 1 ,3,7,10}

Answer 2

Step-by-step explanation:

P'= {2,8,9,11,12}

(P')'={1,3,7,10} [those elements which are not in P']

P={1,3,7,10}

therefore (P')'=P