Find the set of all 
for which 
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Sol. The given expression is 
, then we have to find the set of x. On solving the given expression, we get,
Transporting 
from RHS to LHS, we get the following inequality
Taking LCM of 
and 
, we get,
Opening brackets, we get,
Now we can cancel the similar terms and take - sign outside from the numerator. Also, we can factorize the denominator. Then, we will get
From the above equation, we get values of x to be, 
. When we arrange these values on a number line, they are in ascending order. Starting from the negative values (for 
interval), the sign of these terms will change after every value of x because all are linear terms. We will consider only those intervals from the number line for which values are positive. Therefore we get values of x as 
.
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