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Math Drills
Functions & relations
Equivalence relations
Practice 1
Functions & relations
Equivalence relations
1 / 5
Standard
For the relation R on A, choose the correct statement.
A
=
{
1
,
2
,
3
}
R
=
{
(
1
,
1
)
,
(
2
,
2
)
,
(
3
,
3
)
,
(
1
,
2
)
,
(
2
,
1
)
}
\begin{array}{l} A = \left\{1, 2, 3\right\} \\ R = \{\ \left(1, 1\right),\ \left(2, 2\right),\ \left(3, 3\right),\ \left(1, 2\right), \\ \quad \left(2, 1\right)\ \} \end{array}
A
=
{
1
,
2
,
3
}
R
=
{
(
1
,
1
)
,
(
2
,
2
)
,
(
3
,
3
)
,
(
1
,
2
)
,
(
2
,
1
)
}
1
Only reflexivity fails
2
Only symmetry fails
3
Only transitivity fails
4
It is an equivalence relation
Answer
