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  3. b let t denote the set of real transcendental numbers...

Question: b let t denote the set of real transcendental numbers...

Question details

b) Let T denote the set of real transcendental numbers. Prove that the relation on T defined by y if and only if r -ye Q is an equivalence relation. that the set is uncountable. class of r. Does the function P have c) Let denote the set of equivalence classes generated by ~ defined above. Prove d) Define the function P : T → E by f(x) = [2] where [x] denotes the equivalence ● a left inverse? e a right inverse? Justify your answers.

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