## Using the completeness axiom, show that every nonempty set E of real numbers that is bounded below has a greatest lower bound (i.e., inf E exists and is a real number).

EXPERT ANSWER

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# Mathematics

## 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