Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Solution set of inequality
log 10 (x 2 – 2x – 2) ≤ 0 is -
A
[– 1, 1 – 
]
]
B
[1 + 
, 
]
, ]
C
[– 1, 1 – 
] ∪ [1 + 
, 3]
] ∪ [1 + , 3]
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
C
Given log 10 (x 2 – 2x – 2) ≤ 0
⇒ x 2 – 2x – 2 ≤ 10 0
⇒ x 2 – 2x – 3 ≤ 0
⇒ – 1 ≤ x ≤ 3 …….(1)
For logarithm to be defined.
x 2 – 2x – 2 > 0
⇒ x < 1 – 
or x > 1 + 
…….(2)
From (1) and (2), common values of x are given by
–1 ≤ x ≤ 1 – 
or 1 + 
< x ≤ 3
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