CRN 12109: HW 1

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 implies the Axiom of Completeness.