It's 2009! :D Scribe post for January 05, 2009

Happy New Year

&

Welcome Back To School!

Hii Everyone! ^-^

First of all, I hope that you all had a wonderful winter break :] That 2-week hibernation and fun was great, but now it's time to get up and have ourselves back on track. As what Mr.K said, "We only have 3 weeks, almost exact, before the exam. After Logic, we have one more unit to do." (Well, it was something like that :P) To warm up our brains, we had a Pre-test on Logic today. Our real test will be on Wednesday (January 07, 2008), since Mr.K said that we'd have one more day to review Logic a little more.

Here are the questions & answers/corrections if you've missed the Pre-test (They can also be seen in the slides):

(1) In a class of 50 students, 18 take music, 26 take art, and 2 take both art and music. How many students are not enrolled in either music or art? (a) 6 ; (b) 8 ; (c) 16 ; (d) 24

to explain it in the form of a Venn Diagram...

(2) What is true about the statement "If two angles are right angles, the angles have equal measure" and its converse "If two angles have equal measure then the two angles are right angles"?
(a) The statement is true but its converse is false.
(b) The statement is false but its converse is true.
(c) Both the statement and its converse are false.
(d) Both the statement and its converse are true.

- Converse is false because two angles that have equal measure doesn't necessarily have to be right angles. For example, an isoceles triangle has two equal angles but they are not right angles.

(3) The inverse of the converse of a conditional statement is the contrapositive.

(4) Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8}, B = {1,3,6,9}, and C = {1,3,4,6,8}. List the members in the set: ( A ∩ C )'

to explain in the form of a Venn Diagram...
(click to enlarge)

Therefore, the members in the set ( A ∩ C )' are 1, 2, 3, 5, 7, 9.

(5) Prove that the difference of square of two odd numbers is always divisible by 4.

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This has a factor of 4 and is divisible by 4.

I think I explained them as well as I could. Tomorrow, we will have time to review Logic with the class once more. Homework for today was to try to prove if is rational or not. Look at the slide that was on December 19 for the explanation on because it is similar. Also, we have to finish other unanswered exercises that we were assigned including Exercise 50.

That is all for today! ^-^

The next scribe will be Randall :]

- CharChar