Let G = { - 2 , 0 , 2 ) and H = { 4 , 6 , 8 ) and define a relation V from G to H as follows: For every ( x , y ) ∈ G × H , ( x , y ) ∈ V means that x − y 4 is an integer. a. Is 2 V 6? Is (-2) V (8)? Is ( 0 , 6 ) ∈ V ? Is ( 2 , 4 ) ∈ V ? b. Write V as a set of ordered pairs. c. Write the domain and co-domain of V. d. Draw an arrow diagram for V.
Solution Summary: The author explains how to verify a 's value.
Let
G
=
{
-
2
,
0
,
2
)
and
H
=
{
4
,
6
,
8
)
and define a relation V from G to H as follows: For every
(
x
,
y
)
∈
G
×
H
,
(
x
,
y
)
∈
V
means that
x
−
y
4
is an integer. a. Is 2 V 6? Is (-2) V (8)? Is
(
0
,
6
)
∈
V
? Is
(
2
,
4
)
∈
V
? b. Write V as a set of ordered pairs. c. Write the domain and co-domain of V. d. Draw an arrow diagram for V.
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RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY