chapter 3 sets(1)_4b
TRANSCRIPT
-
8/13/2019 Chapter 3 Sets(1)_4B
1/6
Name:___________ Teacher: WL Cheng Class : 4B
Lesson No.:6
Sekolah Menengah Seri Omega Date : 22!"Time : ".2! # $!.%!
S&'(ect: Mathematics
Cha)ter:%
To)ic: Sets *$+
S&',to)ic:
Notes:,
%.$a De-ining Sets
a. Set refers to any collection orgroup of
objects.
b. Sets are usually specified in three ways.
(a) The description method Example
{odd numbers}
(b) The roster method In this method, the set is defined by listin the numbers.
Example
{!, ", #, $, %.}
(c) Using set-builder notation
This combines both the roster and description method.
Example
{ :x x is an odd positi&e number}
b. The objects in a set are called elements or
members of the set. They are said to belon
to the set.
d. Sets are usually denoted by capital letters
and the notation used for sets is braces, { }.
Example
'{, *, +, }
e. The definition of sets has to be clear and
precise so that the elements can be identified.
f. The same elements in a set need not be
repeated.
Example
- = {letters in the word belie&e/ }
{b,e,i,l,&}
/ercise %.$a$ List the elements o- each o- the -ollo0ing sets.
*a+0 1 m<i)les o- $$3 less than !5
*'+1 {-irst -ie letters o- the al)ha'et5
*c+2 o0els in the 0or7 8CL9SS5
.
*7+ 3x4 x is a -actor o- $25
*e+5 1 names o- states in Mala;sia starting
0ith15
-
8/13/2019 Chapter 3 Sets(1)_4B
2/6
2 De-ine the -ollo0ing sets &sing a statement ora 0or7.
*a+ M1$3
-
8/13/2019 Chapter 3 Sets(1)_4B
3/6
*e+6p4 % p
-
8/13/2019 Chapter 3 Sets(1)_4B
4/6
*+0 1 )rime -actors o- 2!5
*i+B 1 x4 2% x %! an7x is een5
6otes47' set with no elements is called an empty set
or a null set. The symbol (phi) or empty
braces, { }, denotes an empty set. Therefore,
if set > is an empty set, then > { } or >
and n(>) C.
or each o- the -ollo0ing sets3
*a+ list the elements in the set3 *'+ state the n&m'er o- elements in the set3
*c+ state 0hether the set is an em)t; set ornot &sing set notation.
*i+ 9 1 -actors o- 7iisi'le '; %5
*ii+- 1 consonants in the 0or7;3@@D;5
*iii+ C1 x4x !,x is a negatie n&m'er5
6otes47a. Two sets are equal if they ha&e the same
elements in them. If set ' is eFual to set -, then e&ery element in set ' belons to set -
and &ice &ersa. =e denote this by writin
b. If either set ' or set - has at least one element
that is not common to both, then the sets are
said to be unequal and we write ' -.
2!6
-
8/13/2019 Chapter 3 Sets(1)_4B
5/6
6 Determine 0hether each o- the -ollo0ing )airs o- sets are e&al or not.
*a+ 9163"3$25an7 B1$2363"5
*'+ =1 %363"5 an7 > 1 m<i)les o- % less
than $!5
*c+D -actors o- $!5 an7 1233$!5
*7+
*e+
(-+ 3 1 -actors o- 2 7iisi'le '; 5 an7
0 1 -actors o- 2% 7iisi'le '; 25
< Com)lete each o- the -ollo0ing &sing the
s;m'ols 13 303B313: or53 gien = 1 )rime n&m'ers 'et0een 2 an7 "5
> 1 o77 n&m'ers 'et0een $ an7 5
< 1 x:x G !3x is a )ositie n&m'er5
S 1 Hy:,% Gy G 3y is an integer5
*a+ %______ *-+ !_______< *'+JJJJJ> *g+ ,!.2_____S
*c+
-
8/13/2019 Chapter 3 Sets(1)_4B
6/6
Determine the al&e o-x in each o- the -ollo0ing sets.
*a+ 1$$3 ,xH
2!6