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Byju's Answer
Standard XII
Mathematics
Absolute Value Function
|x+3|+x/x+2=1...
Question
If
|
x
+
3
|
+
x
x
+
2
=
1
, then
x
∈
A
{
−
5
,
−
1
}
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B
{
1
,
5
}
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C
{
−
1
,
5
}
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D
{
1
,
5
}
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Solution
The correct option is
A
{
−
5
,
−
1
}
|
x
+
3
|
+
x
x
+
2
=
1
,
x
≠
−
2
⇒
|
x
+
3
|
−
2
x
+
2
=
0
For
x
≥
−
3
,
x
+
1
x
+
2
=
0
⇒
x
=
−
1
For
x
<
−
3
,
x
+
5
x
+
2
=
0
⇒
x
=
−
5
∴
x
=
−
5
,
−
1
Suggest Corrections
0
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