week #4

It has been four weeks since this course began. And what I found interesting is that this course is kind of similar to the course MAT137 which I'm also taking in this semester, such as the proof of limit. Although the ways of teaching might be slightly different, I'm still quite happy about that because that helps me to improve understanding of this field of knowledge.
Basically, what I have learned this week is about proof. Not the proof of a real problem like what we learned in MAT137 but the outline of proof, which I think is helpful on both course in the future because what we actually need is not to solve a real question correctly on the test but to understand the problem and design a plan to solve it. This week's stuff is pretty clear to me and hopefully I can still be like this next week.
However, the issue of this week is not about the lectures during the class but about the first assignment. This assignment only includes 5 questions with several subquestions each, but the fact is that I have been doing it with a group of 3 for two days. It looks like pretty easy but once we do that, lots of problems come out as each of us has different understanding of those questions. In particular the last two questions, none of us is pretty sure about them. As a result, we studied the notes from lectures over and over again in order to find the solutions, which spent us plenty of time.
         4. For each pair of statements below, given an example of sets D; P, and Q that make one statement true
and the other false. Explain the difference in words, and show it with a Venn diagram.
(a) The pair 8d 2 D; P(d) ) Q(d) and 8d 2 D; P(d) ^ Q(d).
(b) The pair 9d 2 D; P(d) ^ Q(d) and 9d 2 D; P(d) ) Q(d).
We still don't get the satisfying solution of question 4 above until the answer key has been out, which is quiete simple using the basic knowledge we learned. I looked through the solution carefully in order not to get confused next time after I meet a question similarly.