Page 79 - Steady Mate Tg1 - Book A

Matematik Tingkatan 1 Bab 11 Pengenalan Set

Gambar Rajah Venn, Set Semesta, Pelengkap bagi suatu Set dan Subset
11.2 Venn Diagrams, Universal Sets, Complement of a Set and Subsets BUKU TEKS ms. 254 – 260

MESTI TAHU & INGAT
Gambar rajah Venn
Set semesta, ξ, diwakili dengan Venn diagram
segi empat tepat dan mengandungi ξ Set A diwakili dengan bulatan
semua unsur, iaitu 1, 2, 3, 4, 5, 6, 9 dan unsurnya ditulis di dalam
7, 8, 9 dan 10. A 2 bulatan, iaitu 2, 4, 6, 8 dan 10.
Universal set, ξ, is represented by a 1 6 4 7 Set A is represented by a circle and
rectangle, and consists of all the its elements are written in the circle,
elements, 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10. 10 8 2, 4, 6, 8 and 10.
3 5

Pelengkap bagi set A, iaitu A9 dan unsurnya berada
di luar bulatan, iaitu 1, 3, 5, 7 dan 9.
The complement of set A, denoted by A9 and its elements
lie outside the circle, 1, 3, 5, 7 and 9.

G Kenal pasti sama ada setiap set yang berikut merupakan set semesta bagi {1, 2, 5, 10}. TP 2 ARAS R
Identify whether each of the following sets is the universal set of {1, 2, 5, 10}.

Contoh Contoh
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10} {x : x ialah nombor ganjil dan x , 10}
{x : x is an odd number and x , 10}
Set semesta Mengandungi semua unsur {1, 3, 5, 7, 9} Tidak mengandungi unsur 2 dan 10
Universal set Contains all the elements Does not contain elements 2 and 10
Bukan set semesta
Not a universal set

1. {x : x ialah faktor bagi 50} 2. {x : x ialah nombor perdana dan x , 15}
{x : x is a factor of 50} {x : x is a prime number and x , 15}
{1, 2, 5, 10, 25, 50} Mengandungi semua unsur {2, 3, 5, 7, 11, 13} Tidak mengandungi unsur 1 dan 10
Contains all the elements Does not contain elements 1 and 10
Set semesta Bukan set semesta
Universal set Not a universal set

H Diberi ξ = {x : x ialah integer positif dan x , 10}, tentukan pelengkap bagi setiap set yang berikut. TP 2 ARAS S
Given that ξ = {x : x is a positive integer and x , 10}, determine the complement of each of the following sets.

Contoh 1. B = {gandaan 4} 2. D = {nombor perdana}
B = {multiples of 4} D = {prime numbers}
A = {kuasa dua sempurna}
A = {perfect squares}
B = {4, 8} D = {2, 3, 5, 7}
ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9}
A = {1, 4, 9} B9 = {1, 2, 3, 5, 6, 7, 9} D9 = {1, 4, 6, 8, 9}
A9 = {2, 3, 5, 6, 7, 8}
Semua unsur dalam set semesta, ξ yang
bukan unsur A.
All elements in the universal set, ξ that
are not in A.

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