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Mathematics
Mathematics
Problem
Let
A
=
{
1
,
2
,
3
}
A=\{1,2,3\}
A
=
{
1
,
2
,
3
}
and
B
=
{
1
,
2
,
3
,
4
}
B=\{1,2,3,4\}
B
=
{
1
,
2
,
3
,
4
}
. Define the relation
R
=
{
(
a
,
b
)
∈
A
×
B
∣
b
is the least element of
B
that is greater than
a
}
R=\{(a,b)\in A\times B\mid b \text{ is the least element of } B \text{ that is greater than } a\}
R
=
{(
a
,
b
)
∈
A
×
B
∣
b
is the least element of
B
that is greater than
a
}
. Which of the following sets equals
R
R
R
? a)
(
1
,
1
)
,
(
2
,
2
)
,
(
3
,
3
)
(1,1),(2,2),(3,3)
(
1
,
1
)
,
(
2
,
2
)
,
(
3
,
3
)
b)
(
1
,
2
)
,
(
2
,
3
)
,
(
3
,
4
)
(1,2),(2,3),(3,4)
(
1
,
2
)
,
(
2
,
3
)
,
(
3
,
4
)
c)
(
1
,
3
)
,
(
2
,
4
)
,
(
3
,
4
)
(1,3),(2,4),(3,4)
(
1
,
3
)
,
(
2
,
4
)
,
(
3
,
4
)
d)
(
1
,
2
)
,
(
2
,
3
)
(1,2),(2,3)
(
1
,
2
)
,
(
2
,
3
)
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