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Byju's Answer
Standard XII
Mathematics
Subset
Let X= -3,-...
Question
Let
X
=
{
−
3
,
−
2
,
−
1
,
0
,
1
,
2
}
and
Y
=
{
x
:
x
is an integer and
−
3
≤
x
<
2
}
(i) Is
X
a subset of
Y
?
(ii) Is
Y
a subset of
X
?
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Solution
X
=
{
−
3
,
−
2
,
−
1
,
0
,
1
,
2
}
Y
=
{
−
3
,
−
2
,
−
1
,
0
,
1
}
(
1
)
X
is not a subset of
Y
.
(
2
)
Yes,
Y
is a subset of
X
.
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0
Similar questions
Q.
Let
X
=
x
{
x
:
x
=
n
3
+
2
n
+
1
,
n
∈
R
}
and
Y
=
{
x
:
x
=
3
n
2
+
7
,
n
∈
R
}
then
X
∩
Y
is a subset of
Q.
Two sets
A
and
B
are defined as
A
=
{
(
x
,
y
)
∈
R
×
R
:
|
x
−
3
|
+
|
y
−
3
|
≤
3
}
B
=
{
(
x
,
y
)
∈
R
×
R
:
|
x
|
2
+
|
y
|
2
≤
6
2
}
,
then
Q.
Let
R
be the real line. Consider the following subsets of the plane
R
×
R
S
=
{
x
,
y
}
:
y
=
x
+
1
and
0
<
x
<
2
T
=
{
x
,
y
}
:
x
−
y
is an integer
Which one of the following is true?
Q.
Consider R is real number and S and R are subsets of R x R defines as :
Which one of the following is true ?
S
=
{
(
x
,
y
)
:
y
=
x
+
1
a
n
d
0
<
x
<
2
T
=
{
(
x
,
y
)
:
x
−
y
i
s
a
n
i
n
t
e
g
e
r
}
Q.
Let
R
be the real line, consider the following subset of the plane
R
×
R
S
=
{
(
x
,
y
)
:
y
=
x
+
1
,
0
<
x
<
2
}
T
=
{
(
x
,
y
)
}
x
−
y
is an integer} which of the following is true
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