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    PENYERAHAN DAN PENILAIAN TUGASANASSIGNMENT SUBMISSION AND ASSESSMENT

    ___________________________________________________________________

    ______SBMA1403

    ESSENTIAL MATHEMATICS/ MATEMATIK ASASSEPTEMBER 2011

    _________________________________________________________________________

    ARAHAN KEPADA PELAJAR/ INSTRUCTIONS TO STUDENTS

    1. Tugasan ini mengandungi DUA (2)soalan sahaja yang disediakan dalam bahasa modulbercetak kursus ini./ This assignment contains only TWO (2)question that is set in the

    language of the printed module for the course.

    2. Jawab dalam Bahasa Melayu ataBahasa Inggeris. / Answer in Malay orEnglish.

    3. Muat turunkan t!"#$attugasan versi bahasa yang berkenaan dariada My!"# untukenyediaan dan enyerahan tugasan anda. Tugasan anda hendaklah ditai denganmenggunakan Times New Roman $on sai% 12 dan langkau 1.&. baris' Download thelanguage version of the assignment tempate concerned from the My!E forpreparation and su"mission of your assignment. #our assignment should "e typedusing $% point Times New Roman font and $.& line spacing.

    (. )nda dikehendaki menghantar tugasan *#+),) %N&LINEmelalui My!"#. *ila rujuk

    keada ortal untuk arahan mengenai rosedur menghantar tugasan anda secara on-line.)nda dinasihatkan menyiman senaskah tugasan yang diserahkan untuk rujukansendiri./ #ou must su"mit your assignment ON!"INEvia the My!E. Refer to the portalfor instructions on the procedures to su"mit your assignment on'line. #ou are advised to(eep a copy of your su"mitted assignment for personal reference.

    &. )nda hanya boleh menghantar tugasan SEKALI sahaja dalam SATU $ail. ' #ou cansu"mit your assignment ONCEonly in a SING"Efile.

    . Tugasan anda hendaklah diserahkan ada 2 N'!"!* 2011 hingga 13 N'!"!*2011. *erahan +!$!#a+ 13 N'!"!* 2011 TIDAK akan diterima. '#our assignmentmust "e su"mitted "etween 2 N'!"!* 2011 and13 N'!"!* 2011#)u"missiona$ter 13 N'!"!* 2011 will NOT"e accepted.

    /. Tugasan hendaklah disiakan secara individu. )nda dilarang meniru tugasan oranglain. )nda juga dilarang sama sekali memlagiat kerja orang lain sebagai kerja

    sendiri. /#our assignment should "e prepared individually. #ou should not copy another person*sassignment. #ou should also not plagiarise another person*s wor( as your own.

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    PENILAIAN / E%A"UATION

    Tugasan ini menyumbang sehingga 30,dariada jumlah markah kursus berkenaan.' Thisassignment accounts for &'of the total mar(s for the course.

    )nda akan diberikan maklum balas tentang tugasan ini sebelum 0eeriksaan )khir*emester bermula / #ou would "e given feed"ac( on the assignment "efore the +inal)emester E,amination commences.

    PLAGIARISME- P%T%NGAN MARKAH / "AGIARISM* MAR+S DEDUCTION

    A"a*a.-Tugasan yang diserahkan secara automatik akan disemak untuk menentukankadar ertindihan. Jika lagiarisme dikesan markah akan diotong seerti berikut 'arning* The submitted assignment will automatically undergo a similarity chec(. -fplagiarism is detected mar(s would "e deducted as follows

    Tugasan dengan ertindihan kandunganantara10 & 30 4 otongan 20, dariadajumlah markah yang dieroleh.

    Tugasan dengan ertindihan kandungan lebih dariada 30 , Ma*a +a* akan

    diberikan. Assignments with ,' ! &' o-erapwith others 2' deduction from the total mar(s

    scored.

    Assignments with more t.an &' o-erapwith others */ero mar0 would "e given

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    ASSIGNMENT QUESTION

    INSTRUCTION: ANSWER ALL QUESTIONS.

    QUESTION 1

    Answer all of the following. Please show your working.

    a) In your own words explain the types of numbers that make up the real numbers

    set. Include examples to illustrate. Do not use examples from the module.

    b) Evaluate and write your answers in standard form.i. .! x "#$ %.# x "&

    ii. '!.! x "(&) '%.*+ x "(#)

    c) i. ,se the real number line to represent the following set of numbers-

    x/ ( .!+ 0x1 2.*+3

    ii. 4ive the interval notation for the above set of numbers.

    d) 5onsider the following list of real numbers

    ( )+%# , ' + %)' + %) + 6

    +sin

    &

    6 * ,2

    %6 "."""" 6

    +sin

    %

    7ence6 state all

    i. the rational numbers

    ii. the irrational numbers

    iii. the natural numbers

    (15 marks)

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    QUESTION 2

    Answer all of the following. Please show your working.

    a) In your own words define each of the following terms. Include the description

    and proper notation used to denote each and provide appropriate examples.

    i. 8et

    ii. 9ull set

    iii. 8ubset

    b) :rite the following using proper set notation

    i. 8etPconsists of all odd numbers between (& and *.

    ii. 8et Qconsists of all letters in the words ;E?6 ;E@Aet , be the set of all numbers from to *".

    4iven setA B 6 %6 &6 !6 6 26 +6 #3 and

    setBbe *6 %6 +6 !6 "6 6 *6 %6 !6 C3.

    Draw a enn diagram to illustrate each of the following and list the elements for

    each-

    i. AB

    ii. A,B

    iii. BBA )'

    d) >et U be the set of all letters of the alphabet.

    4iven setPB a6 b6 k6 m6 x6 p36 set QB h6 l6 i6 n6 F6 b6 k6 r6 o36 setRB a6 t6 m6 u6 b6

    s6 x36 and set SB b6 r6 c6 w6 e6 g6 n6 i6 h6 v6 F6 G3.

    i. Hind ))'' SQPn

    ii. Hind )' RQn

    iii. Hind ))'' RPQn

    iv. >ist the elements of the set SRQ )'

    v. >ist the elements of the set )' SRQ

    (15 marks)

    ________________________________________________________________________

    MUKA SURAT TAMAT / END O1 AGE