1.

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}}

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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