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Q10 of 145 Page 47

If A = {5, 6, 7}, find P(A).

A = {5, 6, 7}


We have to find P(A) which is power set of A


The power set of set A is collection of all possible subsets of A


The possible subsets of A are {ϕ}, {5}, {6}, {7}, {5,6}, {5,7}, {6, 7}, {5, 6, 7}


Hence the power set P(A) will be


P(A) = {{ϕ}, {5}, {6}, {7}, {5,6}, {5,7}, {6, 7}, {5, 6, 7}}


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8

If A ⊂ B, show that (B’ – A’) = ϕ.

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Let A = {x : x = 6n N) and B = {x : x = 9n, n ϵ N}, find A ∩ B.

11

If A = {3, {2}}, find P(A).

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Questions · 145
1. Sets
1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 6 1 1 1 1 1 1 1 1 1 2 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 1 1 1 1 1 1 1 1 1 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 1 2 3 4 5 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
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