Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If x, m satisfy the inequality log 1/2 x 2 ≥ log 1/2 (x + 2) and 49 x 2 – 4m 4 ≤ 0 then
A
m ∈ (– ∞ , 1) ∪ (1, ∞ )
B
m ∈ (– ∞ , – 
) ∪ ( 
, ∞ )
) ∪ ( , ∞ )
C
m ∈ (– ∞ , – 
) ∪ [ 
, ∞ )
) ∪ [ , ∞ )
D
None
Text Solution
Verified by ExpertsThe correct answer is:
D
log 1/2 x 2 ≥ log 1/2 (x + 2)
⇒ x 2 – x – 2 ≤ 0
x ∈ [–1, 2] ~ {0}
& 49x 2 ≤ 4m 4 ⇒ 
m
2 ≤ x ≤ 
m 2 m ∈ 
~ {0}
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