## 1. prove that every nonempty set of real numbers that is bounded below has an infimum .suggested strategy: your argument will use the the completeness axiom.

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## QUESTION 11 The proof that the real numbers contains the square root of 3 relied upon,just the field of axioms of the reals, just the order axioms of the reals, the field axioms,order axioms and the least upper bounds property of the reals, just the least upper bound property of the reals

The proof that the real numbers contains the square root of 3 relied upon. just the field of axioms of the reals just the order axioms of the reals the field axioms,order axioms and the least upper bounds property of the reals just the least upper bound property of the reals EXPERT ANSWER