Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Match the following:
Column I | Column II |
(i) logx (x3 – x2 – 2x) < 3 | [A] True |
(ii) 16x > 0.125 | [B] x∈ (2, ∞) |
(iii) log23 > log34 | [C] x∈ |
(iv) log53 > log46 | [D] x∈ (1, ∞) |
Correct Matrix Matching
Text Solution
Verified by ExpertsThe correct answer is:
(i) [B]; (ii) [C]; (iii) [A]; (iv) [E]
Ans.
(i) [B]
(ii) [C]
(iii) [A]
(iv) [E]
Sol. (i) 
x > 0 ……(i)
& x 3 – x 2 – 2x > 0
x (x 2 – x – 2) > 0
x (x – 2) (x + 1) > 0
x ∈ (– 1, 0) ∪ (2, ∞ ) ……(ii)
∴ using (i) & (ii)
⇒ x > 2
(ii) 16 x > 
x > 
(iii) True
(iv) False
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