Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The complete solution set of the inequality 
, is (–a, ∞ ), then determine ‘a’.
Text Solution
Verified by ExpertsThe correct answer is:
1
(1)
Sol. 
⇒ x ∈ (– ∞ , –2) ∪ (–1, ∞ )
and x + 3 > 0 ⇒ x > –3
If ; log 4 
> log 4 (x + 3)
⇒ 
> x – 3 ⇒ 
> 0
⇒ 
> 0 ⇒ 
< 0
⇒ x > –1
ans. (–1, ∞ ) ⇒ –a = –1 ⇒ a = –1
If log 4 
< log 4 (x + 3)
< x + 3 then solution is (–3, –1)
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