Page 109 - Buku Teks Digital Mate KSSM T5

Bab 4 Operasi Set

Contoh 8
1
Diberi set P = {faktor bagi 24}, set Q = {gandaan 3 yang kurang daripada 20} dan
set R = {gandaan 4 yang kurang daripada 20}.
(a) Senaraikan semua unsur bagi set yang berikut.
(i) P ø Q (ii) P ø R (iii) Q ø R (iv) P ø Q ø R

(b) Lukis gambar rajah Venn yang mewakili set P, set Q, set R dan lorekkan kawasan yang mewakili
kesatuan set yang berikut.
(i) P ø Q (ii) P ø Q ø R

Penyelesaian:
(a) (i) P = {1, 2, 3, 4, 6, 8, 12, 24}
Q = {3, 6, 9, 12, 15, 18}
4
P ø Q = {1, 2, 3, 4, 6, 8, 9, 12, 15, 18, 24}
BAB
(ii) P = {1, 2, 3, 4, 6, 8, 12, 24}
R = {4, 8, 12, 16}
P ø R = {1, 2, 3, 4, 6, 8, 12, 16, 24}

(iii) Q = {3, 6, 9, 12, 15, 18}
R = {4, 8, 12, 16}
Q ø R = {3, 4, 6, 8, 9, 12, 15, 16, 18}

(iv) P = {1, 2, 3, 4, 6, 8, 12, 24}
Q = {3, 6, 9, 12, 15, 18}
R = {4, 8, 12, 16}
P ø Q ø R = {1, 2, 3, 4, 6, 8, 9, 12, 15, 16, 18, 24}

(b) (i) P Q (ii) P Q
•1 •3 •9 •1 •3 •9
•2 •6 •15 •2 •6 •15
•24 •12 •18 •24 •12 •18
•4 •4
•8 •8
•16 •16
R R

Saiz sebenar

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