Matematik Tingkatan 4/5 (Operasi set)

Diagram 11 shows a Venn diagram with the universal set,  $\xi=P\cup Q\cup R$ . List all the elements of set P'.
Rajah 11 menunjukkan gambar rajah Venn dengan set semesta,  $\xi=P\cup Q\cup R$  . Senaraikan semua elemen set P'.

• {3,4}

• {3,4,7}

• {3,4,5,7}

• {3,4,5,6,7}

Diagram 12 is a Venn diagram such that the universal set, $\xi=P\cup Q\cup R$ . Which set represents the shaded region?
Rajah 12 ialah gambar rajah Venn dengan keadaan set universal,  $\xi=P\cup Q\cup R$  . Set manakah yang mewakili kawasan berlorek?

•  $\left(P\cap Q\right)\cup R$  

•  $P\cap\left(Q\cup R\right)$  

•  $\left(P\cup Q\right)\cap R$  

•  $P\cup\left(Q\cap R\right)$  

 Diagram 12 is a Venn diagram showing the number of elements in set M, set S and set P. The universal set $\xi=M\cup S\cup P$ . Given  $n\left(M\cup S\right)=n\left(P\right)$  , find the value of x.
Rajah 12 ialah gambar rajah Venn yang menunjukkan bilangan unsur dalam set M, set S dan set P. Set semesta  $\xi=M\cup S\cup P$  . Diberi  $n\left(M\cup S\right)=n\left(P\right)$  , cari nilai x.

• 8

• 9

• 16

• 18

Given that/Diberi bahawa: $\xi=\left\{x:1\le x\le7,\ x\ is\ an\ integer\right\}$  
 $\xi=\left\{x:1\le x\le7,\ x\ ialah\ integer\right\}$  

 $P=\left\{x\ :\ x<5\right\}$  

 $Q=\left\{\ x\ :\ x\ \le2\right\}$  
 $\xi=P\cup Q\cup R$  
 $P\cap R=\left\{4\right\}$  
List all the elements of set R'.
Senaraikan semua unsur bagi set R'.

• {1,2,3}

• {5,6,7}

• {1,2,3,4}

• {4,5,6,7}

Diagram 16 shows a Venn diagram with the universal set, $\xi=K\cup L\cup M$ . List all the elements of set  $K'\cap L$  
Rajah 16 menunjukkan gambar rajah Venn dengan set semesta,  $\xi=K\cup L\cup M$  . Senaraikan semua unsur bagi set  $K'\cap L$  

• {1,2}

• {6,7}

• {3,4,5}

• {5,6,7}

Diagram 13 is a Venn diagram which shows the elements of the universal set, $\xi$ , set P dan set Q. Lists all the elements of set Q'.
Rajah 13 ialah gambar rajah Venn yang menunjukkan unsur-unsur bagi set semesta,  $\xi$  , set P dan set Q. Senaraikan semua unsur bagi set Q'.

• {r,s}

• {t,u,v}

• {r,s,t,u}

• {r,s,t,u,v}

It is given that set P={1,3,5,7,9,11}, set Q={2,4,6,8,10,12} and set R {2,3,5,7,11}. List all the element of set $P\cup\left(R\cap Q\right)$ 
Diberi bahawa set P={1,3,5,7,9,11}, set Q={2,4,6,8,10,12} dan set R {2,3,5,7,11}.  Senaraikan semua unsur set  $P\cup\left(R\cap Q\right)$  

• {2}

• {3,5,7,11}

• {1,2,3,5,7,9,11}

• {1,2,3,4,5,6,7,8,9,10,11,12}

 It is given that the universal set, $\xi=P\cup Q\cup R,\ \ Q\subset P\ and\ P\cap R=\phi$ . Which Venn diagram represents these relationship?
Diberi bahawa set semesta,  $\xi=P\cup Q\cup R,\ \ Q\subset P\ dan\ P\cap R=\phi$  . Gambar rajah Venn manakah yang mewakili hubungan ini?

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• 
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Diagram 11 is a Venn diagram showing the number of quiz participants in set P and set Q. Given that the universal set, $\xi=P\cup Q$  , set P= {Mathematics quiz participants} and set Q={Science quiz participants}. If the number of participants who participate in only one quiz is 21, find the total number of the participants.
Rajah 11 ialah gambar rajah Venn yang menunjukkan bilangan peserta kuia dalam set P dan set Q. Diberi bahawa set  $\xi=P\cup Q$  , set P={peserta kuiz Matematik} dan set Q={peserta kuiz Sains}. Jika bilangan peserta yang mengambil bahagian hanya satu kuiz sahaja ialah 21 orang, cari jumlah semua peserta itu.

• 27

• 29

• 33

• 35

 Diagram 15 is a Venn diagram showing the number of elements in the universal set, $\xi$  , set K, set L and set M. Given $n\left(L\right)=n\left(K\cup M\right)',\ find\ n\left(\xi\right)$  

Rajah 15 ialah gambar rajah Venn yang menunjukkan bilangan unsur dalam set semesta,  $\xi$  , set K, set L dan set M. Diberi  $n\left(L\right)=n\left(K\cup M\right)',\ cari\ n\left(\xi\right)$  

• 37

• 40

• 49

• 54