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Byju's Answer
Standard XIII
Mathematics
Inequalities Involving Modulus Function
If ||x|-5|x+5...
Question
If
∣
∣
|
x
|
−
5
∣
∣
(
x
+
5
)
<
0
, then
x
∈
A
(
−
∞
,
−
5
)
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B
(
−
∞
,
5
)
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C
[
0
,
5
]
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D
(
0
,
5
)
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Solution
The correct option is
A
(
−
∞
,
−
5
)
∣
∣
|
x
|
−
5
∣
∣
(
x
+
5
)
<
0
⇒
x
+
5
<
0
(
∵
|
|
x
|
−
5
|
≥
0
)
⇒
x
<
−
5
∴
x
∈
(
−
∞
,
−
5
)
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0
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Q.
If
∣
∣
|
x
|
−
5
∣
∣
(
x
+
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)
<
0
, then
x
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If
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x
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−
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∣
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For any angle
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0
,
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)
∪
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,
cosec
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∣
|
x
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5
|
−
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x
−
4
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Inequalities Involving Modulus Function
Standard XIII Mathematics
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