Question: For all a,b R, if|a b| < min(a,b), then prove that max(a,b) < 2min(a,b). Show Propositions and Axioms used

For all a,b R, if|a b| < min(a,b), then prove that max(a,b)

For all a,b R, if|a b| < min(a,b), then prove that max(a,b) < 2min(a,b). Show Propositions and Axioms used

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