Write down all subsets of each of the following sets:

(i) A = {A}


(ii) B = {a, b}


(iii) C = {–2, 3}


(iv) D = {–1, 0, 1}


(v) E =ϕ


(vi) F = {2, {3}}


(vii) G = {3, 4, {5, 6}}


(i) The subsets of {A} are ϕ and {A}

(ii) The subsets of {a, b} are ϕ, {a}, {b}, and {a, b}.


(iii) The subsets of {–2, 3} are ϕ, {-2}, {3}, and {-2, 3}.


(iv) The subsets of {–1,0,1} are ϕ ,{-1},{0},{1},{-1,0},{0,1},{-1,1},{–1, 0, 1}


(v)ϕ has only one subset ϕ.


(vi) let x = {3}


Then, F = {2,x}


The subsets of {2,x} are ϕ , {2},{x},{2,x}


i.e ϕ , {2},{{3}},{2,{3}}


(vii) let x = {5,6}


Then, G = {3,4,x}


The subsets of {3,4,x } are ϕ ,{3},{4},{x},{3,x},{4,x},{3,4}, {3,4,x}


i.e. ϕ ,{3},{4},{{5,6}},{3,{5,6}},{4,{5,6}},{3,4},{3,4,{5,6}}


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