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Tardigrade
Question
Mathematics
Let N be the set of natural numbers and the relation R be defined such that R=(x, y): y =2 x, x, y ∈ N . Then,
Q. Let
N
be the set of natural numbers and the relation
R
be defined such that
{
R
=
(
x
,
y
)
:
y
=
2
x
,
x
,
y
∈
N
}
. Then,
186
163
Relations and Functions
Report Error
A
R
is a function
B
R
is not a function
C
domain range and codomain is
N
D
None of the above
Solution:
R
=
{(
1
,
2
)
,
(
2
,
4
)
,
(
3
,
6
)
,
(
4
,
8
)
……
}
Since, every natural number
N
has one and only one image, this relation
R
is a function.
The domain of
R
is the set of natural number i.e.,
N
. The codomain is also
N
, and the range is the set of even natural numbers.