Page 13 - Mathematics_Form_3

Relations

‘is a square of’ 2. Let T = {Tanzania, China, Burundi,
A B Nigeria}. Draw a pictorial diagram
between members of set T to show
-2
0 the relation ‘has a larger population
-1
than’.
READING ONLY
1 0 3. Let U = {2, 3, 5} and V = {6, 7,
1 10, 60}. Draw a pictorial diagram
4
2 between the sets U and V to illustrate
the relation ‘is a factor of ’.
4. Let W = {9, 10, 14, 12} and
Example 1.4 X = {2, 5, 7, 6}. Draw a pictorial
diagram between the sets W and
Let A = {–2, –1, 0, 1, 2} and X to illustrate the relation ‘is a
B = {0, 1, 2, 3, 4}.Write down the multiple of ’.
relation “is a square root of” in set 5. Let Y = {1, 4, –4, 9, 10} and
notation. List the elements of the Z = {1, –2, 2, 3, –4}. Draw a

relation R. pictorial diagram between the sets
Y and Z to illustrate the relation ‘is
Solution
the square of ’.
2
FOR ONLINE
If a = b then b = a . Thus,  2 

R = {(a, b): b = a , where a ∈ A, b ∈ B}. 6. S =  9 , 0.6, 1, 2, 3, 4  
2
The relation R consists of the following  Prime numbers, Rational 
pairs: D =   numbers, Natural numbers  

R = {(–2, 4), (–1, 1), (0, 0), (1, 1), Draw a pictorial diagram to show
(2, 4)}.
the relation “is in the set of” between
Mathematics for Secondary Schools 1. A group of men contains the 7. Let H = {(Author 1, Book A),
members of set S and D.

(Author1, Book B), (Author 2,
Exercise 1.2
Book B), (Author 2, Book C)}.
Draw a pictorial diagram to show
following members: Pandu Mkoku,
the connection “is the author of”
from the relation in set H.
Rafael Martin, Aloyce Wambura,
and Juma Mkoku. Let P be the set
(Teacher A, Physics), (Teacher B,
of children, and Q the set of fathers.
Chemistry), (Teacher B, Physics)}.
Draw a pictorial diagram to show 8. Let G = {(Teacher A, Mathematics),
Draw a pictorial diagram to show
the connection between set P and the connection “is teaching” from
set Q. the relation in set G.

6 Student\s Book Form Three

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