Homework 15

Read: Section 3.5.

Turn in: 3.40, 3.48, 3.51, 3.52 and the additional problem below

• Please make sure to read and make sense of 3.41 and 3.42.
• On 3.52, your picture should be drawn as a subset of $\mathbb{R}_2$.

Additional Problem: For $n$ a positive integer, define $A_n = \{x\in \mathbb{R}\mid -n < x \le 2+\frac{1}{n}\}$, so in interval notation, $A_n=(-n,2+\frac{1}{n}]$.

1. Find $A_1 \cap A_2$
2. Find $\bigcap_{n\in \mathbb{N}}A_n$
3. Find $A_1 \cup A_2$
4. Find $\bigcup_{n\in \mathbb{N}}A_n$

Extra practice: 3.39, 3.49, 3.50, 3.54