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Question
Mathematics
Let A= 1,2,3,5 and B= 4,6,9 and a relation R from A to B is defined by R= (x, y): the difference between x and y is odd; x ∈ A and y ∈ B . Then Roster form of R is ...K.... Here, K refers to
Q. Let
A
=
{
1
,
2
,
3
,
5
}
and
B
=
{
4
,
6
,
9
}
and a relation
R
from
A
to
B
is defined by
R
=
{(
x
,
y
)
: the difference between
x
and
y
is odd;
x
∈
A
and
y
∈
B
}
. Then Roster form of
R
is ...K.... Here,
K
refers to
116
168
Relations and Functions
Report Error
A
{(
1
,
4
)
,
(
1
,
6
)
,
(
1
,
9
)}
3%
B
{(
1
,
4
)
,
(
1
,
6
)
,
(
2
,
9
)
,
(
3
,
4
)
,
(
3
,
6
)
,
(
5
,
9
)}
6%
C
{(
1
,
4
)
,
(
1
,
6
)
,
(
2
,
9
)
,
(
3
,
4
)
,
(
3
,
6
)
,
(
5
,
4
)
,
(
5
,
6
)}
77%
D
None of the above
14%
Solution:
Difference between
x
and
y
is odd, if one of them is odd.
∴
In Roster form
R
=
{(
1
,
4
)
,
(
1
,
6
)
,
(
2
,
9
)
,
(
3
,
4
)
,
(
3
,
6
)
,
(
5
,
4
)
,
(
5
,
6
)}