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Mathematics
Mathematics
Problem
Consider the set
B
=
{
1
,
2
,
…
,
12
}
B=\{1,2,\dots ,12\}
B
=
{
1
,
2
,
…
,
12
}
and the relation
R
R
R
on
B
B
B
given by
a
R
b
a\,R\,b
a
R
b
if
a
≡
b
(
m
o
d
3
)
a\equiv b\pmod{3}
a
≡
b
(
mod
3
)
. (i) Write the equivalence class
[
2
]
[2]
[
2
]
. (ii) Determine the size of
[
2
]
[2]
[
2
]
within the set
B
B
B
.
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