CRN 12109: HW 1
From Classes
Problem 1. Exercise 1.3.2.
Problem 2. Exercise 1.3.3(a)(b).
Problem 3. Exercise 1.4.4.
Problem 4. Let $A=\{x\in\mathbb{Q}\ |\ x^2\leq 5\}$. Show that A is bounded from above, but that $A$ has no maximum.
Problem 5. Show that the Nested Interval Property together with the Archimedean Principle implies the Axiom of Completeness.
