The set of values of 
for which the inequality 
always holds true, is
Text Solution
Verified by ExpertsA
On the LHS of the given inequation there are two terms 
and 
. On equating 
and 
to zero, we get: 
and 1 as critical points. These points divide the real line into three regions viz. 
and 
. So, we consider the following cases:
CASE I - When 
In this case, we have
CASE II - When 
In this case, we have
, which is true for all 
.
CASE III - When 
In this case, we have
Hence, 
or, 
.
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