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Mathematics
Problem
Let
A
=
{
1
,
2
}
A=\{1,2\}
A
=
{
1
,
2
}
and
B
=
{
1
,
2
,
3
}
B=\{1,2,3\}
B
=
{
1
,
2
,
3
}
. The relations
R
=
{
(
1
,
1
)
,
(
1
,
2
)
,
(
2
,
3
)
}
,
S
=
{
(
1
,
1
)
}
R=\{(1,1),(1,2),(2,3)\},\qquad S=\{(1,1)\}
R
=
{(
1
,
1
)
,
(
1
,
2
)
,
(
2
,
3
)}
,
S
=
{(
1
,
1
)}
are given. Which of the following additional sets of ordered pairs, when added to
S
S
S
, will make
R
R
R
a subrelation of
S
S
S
? a)
{
(
1
,
2
)
}
\{(1,2)\}
{(
1
,
2
)}
b)
{
(
1
,
2
)
,
(
1
,
3
)
}
\{(1,2),(1,3)\}
{(
1
,
2
)
,
(
1
,
3
)}
c)
{
(
1
,
2
)
,
(
2
,
3
)
}
\{(1,2),(2,3)\}
{(
1
,
2
)
,
(
2
,
3
)}
d)
{
(
2
,
3
)
}
\{(2,3)\}
{(
2
,
3
)}
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