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Byju's Answer
Standard XII
Physics
Logic Gates
A=1,2,3,4,5,6...
Question
A = {1, 2, 3, 4, 5, 6, 7, 8} and if R = {(x, y) : y is one half of x; x, y ∈ A} is a relation on A, then write R as a set of ordered pairs.
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Solution
Since R = {(x, y) : y is one half of x; x, y
∈
A}
So, R = {(2, 1), (4, 2), (6, 3), (8, 4)}
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Similar questions
Q.
Let
A
=
{
2
,
3
,
4
,
6
}
and
R
=
{
(
x
,
y
)
:
y
=
x
2
−
x
;
x
,
y
∈
A
}
is a relation on
A
, then write
R
as set of ordered pairs ?
Q.
Let R = {(x, y) : |x
2
− y
2
| <1) be a relation on set A = {1, 2, 3, 4, 5}. Write R as a set of ordered pairs.
Q.
A relation
R
is defined on ordered pairs of integers as follows:
(
x
,
y
)
R
(
u
,
v
)
if
x
<
u
and
y
>
v
. Then
R
is
Q.
Write the following relation as the sets of ordered pairs:
(i) A relation R from the set [2, 3, 4, 5, 6] to the set [1, 2, 3] defined by x = 2y.
(ii) A relation R on the set [1, 2, 3, 4, 5, 6, 7] defined by (x, y) ∈ R ⇔ x is relatively prime to y.
(iii) A relation R on the set [0, 1, 2, ....., 10] defined by 2x + 3y = 12.
(iv) A relation R from a set A = [5, 6, 7, 8] to the set B = [10, 12, 15, 16,18] defined by (x, y) ∈ R ⇔ x divides y.
Q.
Write the relations as sets of ordered pairs
{
(
x
,
y
)
:
y
=
3
x
,
x
∈
{
1
,
2
,
3
}
,
y
∈
{
3
,
6
,
9
,
12
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}
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