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

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Step-by-step explanation:

Answer 2

i. Here, U = {1,2, 3, 7, 8,9, 10, 11, 12} P = {1, 3, 7, 10}

∴ P’ = {2, 8, 9, 11, 12}

ii. Here, U = {1, 2, 3, 7, 8, 9, 10, 11, 12}

P = {1, 3, 7, 10} ….(i)

∴ P’ = {2, 8, 9, 11, 12}

Also, (P’)’ = {1,3,7, 10} …(ii)

∴ (P’)’ = P … [From (i) and (ii)]