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7 id ou now

Given that j = {x : 10 , x , 20, x is an integer}, John Venn
M = {11, 17} and N = {odd numbers}. (1834 – 1923),
Draw a Venn diagram to represent was an English
mathematician
(a) set j and M, (b) N9. who used

geometrical diagrams to
illustrate the relationship
j = {11, 12, 13, 14, 15, 16, 17, 18, 19} between sets. The Venn
M = {11, 17} diagram is named after him.
N = {11, 13, 15, 17, 19}

(a) ξ 12 19 (b) ξ 12
M N 11 15
11 18 18 The shaded
13 17 13 17 region is N’.
16 19 16
14 15 14

Self Practice 11.2b

1. Represent the relationship between the following sets by using the Venn diagram.
(a) j = {1, 3, 5, 7, 9, 11}
A = {3, 5, 9}
(b) j = {x : x is an integer and 10 , x , 20}
B = {prime numbers}
2. Represent the complement of each of the following sets by using Venn diagram.
Shade the region that represents the complement of the set.
(a) j = {multiples of 3 which are less than 30}
P = {numbers which are divisible by 6}
(b) j = {letters in the word ‘PENGELASAN’}
Q = {consonants in the word ‘PENGELASAN’}

CHAPTER
11 What are subsets?

2 Group LEARNING
STANDARDS
Identify and describe the
Aim: To identify the subsets of a set. possible subsets of a set.
Instruction: Perform the activity in groups of four.
1. Prepare the number cards labelled 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20.
2. Use two strings to make two circles on a table which represent the following
sets respectively:
A = {multiples of 2} B = {multiples of 4}

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Chapter 11