Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the inequality 
is satisfied for all x ∈ ∈ R, then
A
1 < m < 5
B
–1 < m < 5
C
1< m < 6
D
m < 
Text Solution
Verified by ExpertsThe correct answer is:
D
We have x 2 + 2x + 2 = (x + 1) 2 + 1 > 0, ∀ ∀ x ∈ ∈ R.
Therefore, 
⇒ ⇒ mx 2 + 3x + 4 < 5
(x 2 + 2x + 2)
(m – 5)x 2 – 7x – 6 < 0, ∀ ∀ x ∈ ∈ R.
This is possible if D = b 2 – 4ac = 49 + 24(m – 5) < 0 and
m – 5 < 0
m < 
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