Fsc Part 1 Mathematics (Complete Solution)

Q4
Write two proper subsets of each of the following sets

(i) {a,b,c}

Ans: {a,b,},{a,c}

(ii) {0,1}

Ans: {0},{1}

(iii) N

Ans: {1,3,5,...},{2,4,6,...} or {1,3},{2,4}

(iv) Z

Ans: N,W or {-2,-1},{0,1}

(v) Q

Ans: N,Z or {-1,0},{1/2,1}

(vi)

Ans: Z,Q or {0,2,4} , {-1,1/2,3/2}

(vii) W

Ans: {0,2,4,...},{1,3,5,...} or {2,4},{1,3}

(viii) {xlx∈Q∧0<x≤2}

Ans: {xlx∈Q∧1<x≤2},{xlx∈Q∧1≤x<2}

            or {1},{2}

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