Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Solve for x, sin –1 
< π – 3
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
sin –1 
< π – 3 …(1)
⇒ 
cannot be < π – 3
∴ sin –1 sin 
< π – 3
⇒ π – 
< π – 3
⇒ 
> 3 ⇒ 2x 2 + 4 > 3 + 3x 2 ⇒ x
2 – 1 < 0 ⇒ |x| < 1
⇒ –1 < x < 1 ⇒ x ∈ (–1, 1)
Now, 
= 
+ 2
⇒ 0 < 
< 2
⇒ 2 < 
+ 2 < 4
⇒ 2 < 
< 4 and hence – 2 > – 
> – 4
⇒ π – 2 > π – 
> π – 4
⇒ 
> π – 
> – 
⇒ – 
< π – 
< 
being the range of sin –1 (function).
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