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Mathematics
Mathematics
Problem
Let
A
=
{
1
,
2
}
A=\{1,2\}
A
=
{
1
,
2
}
and
B
=
{
1
,
2
}
B=\{1,2\}
B
=
{
1
,
2
}
. Define
R
=
{
(
1
,
1
)
,
(
1
,
2
)
,
(
2
,
1
)
}
R=\{(1,1),(1,2),(2,1)\}
R
=
{(
1
,
1
)
,
(
1
,
2
)
,
(
2
,
1
)}
and
S
=
{
(
1
,
1
)
}
S=\{(1,1)\}
S
=
{(
1
,
1
)}
. List the ordered pair(s) that must be added to
S
S
S
so that
R
R
R
becomes a subrelation of
S
S
S
. Give the smallest such set of ordered pairs.
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