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Mathematics
Mathematics
Problem
Consider the set
A
=
{
1
,
2
,
3
}
A=\{1,2,3\}
A
=
{
1
,
2
,
3
}
and the relation
R
=
{
(
a
,
b
)
∈
A
×
A
∣
a
≤
b
}
.
R=\{(a,b)\in A\times A \mid a\le b\}.
R
=
{(
a
,
b
)
∈
A
×
A
∣
a
≤
b
}
.
Check whether
R
R
R
is (i) reflexive, (ii) symmetric, (iii) transitive. Hence decide whether
R
R
R
is an equivalence relation. Show your working briefly.
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