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Question
Mathematics
If A = 1,2,3,5 and B = 4,6,9 we define a relation R from A to B by R = (x, y): the difference between x and y is odd: x ∈ A, y ∈ B then R in roster form is
Q. If
A
=
{
1
,
2
,
3
,
5
}
and
B
=
{
4
,
6
,
9
}
, we define a relation
R
from
A
to
B
by
R
=
{(
x
,
y
)
:
the difference between
x
and
y
is odd
:
x
∈
A
,
y
∈
B
}
, then
R
in roster form is
1937
243
Relations and Functions
Report Error
A
{(
1
,
1
)
,
(
4
,
4
)
,
(
7
,
4
)
,
(
4
,
7
)
,
(
7
,
7
)}
2%
B
{(
1
,
1
)
,
(
4
,
4
)
,
(
4
,
7
)
,
(
7
,
4
)
,
(
7
,
7
)
,
(
3
,
3
)}
9%
C
{(
1
,
5
)
,
(
1
,
6
)
,
(
3
,
6
)}
7%
D
{(
1
,
4
)
,
(
1
,
6
)
,
(
2
,
9
)
,
(
3
,
4
)
,
(
3
,
6
)
,
(
5
,
4
)
,
(
5
,
6
)}
82%
Solution:
Here,
A
=
{
1
,
2
,
3
,
5
}
and
B
=
{
4
,
6
,
9
}
,
x
∈
A
,
y
∈
B
∴
x
−
y
=
(
1
−
4
)
,
(
1
−
6
)
,
(
1
−
9
)
,
(
2
−
4
)
,
(
2
−
6
)
,
(
2
−
9
)
,
(
3
−
4
)
,
(
3
−
6
)
,
(
3
−
9
)
,
(
5
−
4
)
,
(
5
−
6
)
,
(
5
−
9
)
x
−
y
=
−
3
,
−
5
,
−
8
,
−
2
,
−
4
,
−
7
,
−
1
,
−
3
,
−
6
,
1
,
−
1
,
−
4
∴
R
=
{(
1
,
4
)
,
(
1
,
6
)
,
(
2
,
9
)
,
(
3
,
4
)
,
(
3
,
6
)
,
(
5
,
4
)
,
(
5
,
6
)}