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}}