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Byju's Answer
Standard VIII
Mathematics
Universal Set
Let A = 2, 3,...
Question
Let A = {2, 3, 4, 5} and B = {1, 3, 4}. If R is the relation from A to B given by a R b if "a is a divisor of b". Write R as a set of ordered pairs.
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Solution
Since
R
=
a
,
b
:
a
,
b
∈
N
:
a
is
a
divisor
of
b
So, R = {(2, 4), (3, 3), (4, 4)}
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Similar questions
Q.
Let A = {2, 3, 4, 5} and B = {1, 3, 4}. If R is the relation from A to B given by a R b if "a is a divisor of b". Write R as a set of ordered pairs.
Q.
Let
A
=
{
2
,
3
,
4
,
5
,
…
,
30
}
and
′
≅
′
be an equivalence relation on
A
×
A
,
defined by
(
a
,
b
)
≅
(
c
,
d
)
,
if and only if
a
d
=
b
c
.
Then the number of ordered pairs which satisfy this equivalence relation with ordered pair
(
4
,
3
)
is equal to :
Q.
If A = {3, 5, 7} and B = {2, 4, 9} and R is a relation given by "is less than", write R as a set ordered pairs.
Q.
Let the relation R be defined on N by aRb iff 2a + 3b = 30. Then write R as a set of ordered pairs.
Q.
If
R
is the relation 'less than' from
A
=
{
1
,
2
,
3
,
4
,
5
}
to
B
=
{
1
,
4
}
, the set of ordered pairs corresponding to
R
, then the inverse of
R
is
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