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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}} |
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Answer» (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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