Chapter 3 Sets(4)_4C.doc

8/10/2019 Chapter 3 Sets(4)_4C.doc

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Name: ___________ Teacher: WL Cheng Class : 4C Lesson No.:9 Sekolah Menengah Seri Omega Date : 17 ! "9

Time : #.1" $ 9.!"S%&'ect: MathematicsCha(ter:)To(ic: Sets *4+S%&,to(ic: O(erations on Sets

3.3c Combined Operations on Sets Notes:-1. Combined operations in-ol-e &oth the intersection an union o/ sets an the complement o/ sets.

!. When consi ering com&ine or mi0e o(erations the /ollo2ing g%i elines are im(ortant. *a+ 3er/orm o(erations /rom left to right. *&+ / there are brackets, (er/orm o(erations 2ithin them /irst then (er/orm o(erations /rom le/t to right.

50ercise ).)c1. 6 s%r-e in-ol-ing 1"" college st% ents

re-eale that e-er st% ent o2ne either acar a ra io or &oth. t 2as /o%n that 7"o2ne cars an 4# o2ne ra ios.

*a+ Dra2 a 8enn iagram to ill%strate the a&o-e in/ormation.

*&+ o2 man st% ents o2ne &oth a car an a ra io

*c+ o2 man o2ne onl a car or onl a ra io

* + o2 man o2ne a car or a ra io or &oth


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!. t is gi-en that ; < = x: 9" > x > 1"" x is an integer? P


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). State the set re(resente & the sha e regionin each o/ the /ollo2ing 8enn iagrams. 4. The iagram &elo2 sho2s a 8enn iagram

2ith the elements in sets D, E, F an .

List the elements o/ the /ollo2ing.*a+( ) A F E D

*&+( ) ( )A E D F D

*c+( ) ( )A D E D E

* + ( ) ( )A A F D E D

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@. The 8enn iagram ill%strates the relationshi( &et2een sets ; R, S an T. t also sho2s the n%m&er o/ elements in each set.

Bin :

*a+ ( ) ( )An R S T S

*&+ ( )A An S T R

*c+ ( )A An R T S

.Co( the 8enn iagram &elo2 an sha e the region*s+ that re(resent each o/ the /ollo2ing sets.

*a+( )A P R P

*&+( ) AQ R R

7. State a set 2hich is eE%al to each o/ the /ollo2ing sets &ase on the 8enn iagram &elo2.

*a+( ) B C A

*&+ A A A B

*c+ A A A B C

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* + A A A B

#. Dra2 a 8enn iagram an sha e the a((ro(riate regions to ill%strate the /ollo2ing

sets 2here the %ni-ersal set P Q R . *a+ Fi-en that P Q = P R = an R Q ill%strate ( )A P Q R .

*&+ Fi-en that P Q R ill%strate

( ) ( )A

P Q R Q .

9.

The a&o-e 8enn iagram sho2s the n%m&er o/ elements in sets L M N an ; . Fi-en

that ( )A )7n M L N = calc%late the-al%e o/

*a+ x,

*&+ ( )A A .n N L M

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1".

The 8enn iagram sho2s the n%m&er o/ elements in sets 6 B, C an ; . Fi-en that

( ) ( )A 71n A B A B C = /in the -al%e o/

*a+ x

*&+ ( ) ( )An B C A B .

11. Dra2 a 8enn iagram to ill%strate sets P Qan R gi-en P Q R = P Q =

P R P = an Q R R = .

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1!. 6 tele-ision com(an carrie o%t a s%r-eon !"" (eo(le a&o%t their /a-o%rite mo-ies.

The ata o&taine 2ere as /ollo2s: 11# (re/erre in i mo-ies. #! (re/erre Mala mo-ies. 7 (re/erre 5nglish mo-ies . !" (re/erre &oth in i an Mala mo-ies.

17 (re/erre &oth Mala an 5nglish mo-ies. 14 (re/erre all three t (es o/ mo-ies. 4 i not like an o/ the three t (es o/ mo-ies.

*a+ Dra2 a 8enn iagram to ill%strate all the in/ormation.

*&+ o2 man (re/erre *i+ onl in i mo-ies

*ii+ onl Mala mo-ies

*iii+ onl 5nglish mo-ies

*i-+ in i mo-ies an Mala mo-ies &%t not 5nglish mo-ies

*-+ Mala mo-ies an 5nglish mo-ies &%t not in i mo-ies

*-i+ in i mo-ies an 5nglish mo-ies &%t not Mala mo-ies

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Chapter 3 Sets(4)_4C.doc

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