Question

write the power set p(x) of the set x= { 3,4}​

Answer 1

Answer:

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Answer 2

Let us write  X={3}  so as not to be distracted by the extra curly brackets. Then the subsets of  {1,X,4}  are

∅,{1},{X},{4},{1,X},{1,4},{X,4},{1,X,4}  

so the power set is

{∅,{1},{X},{4},{1,X},{1,4},{X,4},{1,X,4}} .

Now replace  X  by  {3} :

{∅,{1},{{3}},{4},{1,{3}},{1,4},{{3},4},{1,{3},4}} .