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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)inGtimes H,(x,y)inV means that (x-y)/(4) is an integer.

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)inG\\\\times H,(x,y)inV

means that

(x-y)/(4)

is an integer.\ (a) Is

2vv6

?\ Yes\ No\ Is

-2vv8

?\ Yes\ No\ Is

(0,6)inV

?\ Yes\ No\ Is

(2,4)inV

?\ Yes\ No\ (b) Write

V

as a set of ordered pairs. (Enter your answer in set-roster notation.)\

V=

\ (c) What is the domain of

V

? (Enter your answer in set-roster notation.)\ domain of

V=

\ What is the co-domain of

V

? (Enter your answer in set-roster notation.)\ co-domain of

V=
image text in transcribed
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)GH,(x,y)V means that 4xy is an integer. (a) Is 2 V? Yes No Is 28 ? Yes No Is (0,6)V ? Yes No Is (2,4)V ? Yes No (b) Write V as a set of ordered pairs. (Enter your answer in set-roster notation.) V= (c) What is the domain of V ? (Enter your answer in set-roster notation.) domain of V= What is the co-domain of V ? (Enter your answer in set-roster notation.) co-domain of V=

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