NAME : NOOR SYAMIM BIN NOOR YAWARIS MUHAMMAD NAZRIN BIN CHE
YA
CLASS : MATHEMATICS 2
1. To enhance students mastery of skill related to sets
2. To enable students to apply knowledge of sets
in solving daily problem.
3. To enhance relevant knowledge and skills through various
resources such
as book and internet.
On 22nd July,Mr Lau had given us a coursework about
SETS.According to the question,we have to conduct a survey about
the topic that we choose.Thus,we need to find respondent in order
to conduct the survey.
After having a discussion, we had agreed to choose sport as the
topic of our coursework.The students in this IPG had been being our
respondents. We had made the survey of the sports that they like or
dislike on 25th till 27th of July.
The distribution of the data that we got from the survey that we
made, can be seen at the soon pages in this folio (coursework).
Conduct a survey on a topic of your choice (e.g .fruit ) with 3
examples ( e.g. grape, kiwi, strawberry ) on two options 9 e.g.
whether they like/dislike the fruit ). The sample should consists
of more than 20 but fewer than 40 respondents. Collects the
required information using a simple questionnaire form. Represents
the information using a Venn diagram , using the symbols A, B, C to
represents the set of examples and E to represents the universal
set .Answer the following questions based on your Venn diagram.Find
:
(i) (a) n (E) (b) n(A U B U C) (c) n(A n B n C) (d) n(A n Bn C)
(e) n((A U C) B)
(ii) Shade the region represented by (A n B) U (A n B).
(iii) By using algebraic law of sets, prove that
(A n B) U (A n B) = (A U B) n (A u B)
E 4 9 4 6 4 2E = SPORTS A = FOOTBALL
B = PING PONG
C = RUGBY
Find:(i) (a) n(E ) = 40+4+9+4+6+4+2
= 69 (b) n (A U B U C) = 4+9+4+6+4+2 = 29 (c) n (A n B n C) = 4
(d) n(A n B n C) = 4 (e) n((A U C) B) = n((A U C) n B)
= 9+4 = 13(ii) Shade the region represented by (A n B) U (A n
B). E 40
4 9 6
4
4 2
(A n B)
U
E 40 4 9 6 4
4 2
(A n B) E 40 4 9 6
4
4 2 (A n B) U (A n B)
(iii) By using algebraic law of sets , prove that (A n B) U (A n
B) = (A U B) n (A U B)
SOLUTION:(A n B) U (A n B) = (A U B) n (A U B)
Left hand side = (A n B) U (A n B)
= [ (A U A) n (A U B)] n [ (B U A) n (B U B) ]
= [ E n (A U B) ] n [ (B U A) n E ]
= ( A U B) n ( A U B ) .proven
A
C
B
A
C
B
A
C
B
A
C
B
