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The set of all x in (−π/2,π/2) satisfyin...

The set of all x in (−π/2,π/2) satisfying ∣4sinx−1∣< `sqrt(5)` ​ is given by `(a)(-pi/(10),(3pi)/(10))` (b) `(pi/(10),(3pi)/(10))` `(c)(-pi/(2),(3pi)/(10))` (d) none of these

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The correct Answer is:
`(-(pi)/(10),(3pi)/(10))`
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