Homework 3 Solution – Math 214 Foundations of Mathematics

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Solve the following problems. Use complete sentences and good grammar.1.(4 Points)For the following, state whether they are true or not. Then, prove your answer.

(a)xR,yR, xy= 1;

(b)nN,m(N– {1}), nm= 1;

2.(4 Points)Show that for any two positive numbers a and b,(a+b)1a+1b4.


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