Page 10 - Mathematics_Form_3

Relations

Example 1.1 4. Let E = {1, 2, 3, 4} and F = {2, 3, 4, 5}.
Draw a pictorial diagram to illustrate
Let A = {2, 3, 5, 6} and B = {6, 10}. the relation ‘is less than’.
Draw a pictorial representation of the
relation ‘is a factor of’. 5. Let G = {a, e, i, o, u} and H = {Ghana,
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Solution Gambia, Zambia, Uganda}. Draw an
The following is a pictorial arrow diagram to show an inclusion
representation of the sets A and B of vowel in the name of the country.

6. Let J = {dog, cow, horse, lion, tiger}
‘is a factor of’ and K = {2, 3, 4, 5 Draw a pictorial
}.
A B
diagram to connect the name of each
2 6 animal with the number of letters in
3 its name.
5 7. Let M = {Dodoma, Lusaka, Accra,
6 10 Paris, Freetown} and N = {France,

Zambia, Tanzania, Ghana, Sierra
Leone}. Draw an arrow diagram
Exercise 1.1 to connect each capital city with its
country name.
1. By using Figure 1.1, draw pictorial
diagrams to illustrate the following
relations:
(a) ‘is a daughter of ’ Types of relations
( b) ‘is a niece of ’ There are four types of relations,
namely; one-to-one, many-to-one, one-
(c) ‘is a mother of ’
to-many, and many-to-many relations.
2. Let C = {mass, length, time} and
D = {centimetres, seconds, hours, One-to-one relations
kilograms, tonnes}. Draw an arrow A one-to-one relation is a relation in Mathematics for Secondary Schools
diagram to illustrate the relation which one element of the first set is

‘can be measured in’. mapped onto only one element of the
second set. For instance, the relation
3. Let A = {25°, 132°, 90°, 48°, 308°} R ={(1, 2), (2, 4), (3, 6), (4, 8), (5, 10)} is a
and B = {acute angle, right angle, one-to-one relation. The pictorial diagram
obtuse angle, reflex angle}. Draw of the relation R is shown in Figure 1.4.
a pictorial diagram to illustrate the
relation between sets A and B.

Student\s Book Form Three 3

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