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Consider the set A={1,2,3}.Also consider the power set 2A, the set of all subsets of A. Thus 2A={O,{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}}.
Consider the following function f:A→2A defined as f(1)={2,3},f(2)= {2,3} and (3)={1}
Find the set E={x∈A ∉ f(x)}.
Does the equation f(x)=E have a solution?



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