Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Prove the following inequalities : –
(i) 
< 
< 
(ii) 4 ≤ 
≤ 2 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) 
is monotonic decreasing ∴ 
< 
(ii)Let f(x) = 
f ′ (x) = 
> 0 ∀ x ∈ (1, 3)
⇒ f is strictly increasing in (1, 3) m = least value = f(1) = 
M = greatest value = f(3) = 
m(b – a) ≤ 
⇒ 2(2) ≤ 
⇒ 4 ≤ 
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