Question

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

We have,

U = {1, 2, 3, 7, 8, 9, 10, 11, 12} and P = {1, 3, 7, 10}

P' = U $-$ P = {2, 4, 8, 9, 11, 12}

(i)

(ii) (P')' = U $-$ P' = {1, 3, 7, 10} = P