Lecture 30 - Review Ch 3,4

Problems we covered were:

• 44 Uniform Continuity Practice#4.4.2 (b).
• 32 Open and Closed Sets Practice#3.2.13. I'm super surprised since I did the whole argument very similar to what he did in class (where if $A$ is open and closed you can make the increasing sequence of points that have to be in $A$, and repeat for the points lower than $a$, to get the entire real line). He used suprema to only do a loop of 2 while I had a countable sequence of points.
• 33 Compact Sets Practice#3.3.11.
• 43 Continuity Practice#4.3.3.
• 43 Continuity Practice#4.3.11.