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Byju's Answer
Standard XII
Mathematics
Definition of Relations
If Rn= x:-1...
Question
If
R
n
=
{
x
:
−
1
n
<
x
<
1
n
}
then
R
5
∪
R
15
=
________
A
R
5
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B
R
15
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C
R
3
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D
R
20
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Solution
The correct option is
A
R
5
R
5
=
{
x
:
−
1
5
<
x
<
1
5
}
And
R
15
=
{
x
:
−
1
15
<
x
<
1
15
}
But,
1
15
<
x
<
1
15
is within the limits of
1
5
<
x
<
1
5
Hence,
R
5
∪
R
15
=
1
5
<
x
<
1
5
=
R
5
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0
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