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1 – e ^(1/x – 1 ) > 0 solve this inequality.........................

1 – e ^(1/x – 1 ) > 0 solve this inequality.........................

Grade:12th pass

4 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
2 years ago
576-1144_1.PNG
Aditya Gupta
2075 Points
2 years ago
note that the above answer by saurabh is wrong.
we see that e ^(1/x – 1 ) 1
1/x – 1
or (x – 1)/x > 0
or x belongs to (–infinity, 0)U(1, infinity)
Aditya Gupta
2075 Points
2 years ago
we see that e ^(1/x – 1 ) is less than 1
taking log base e both sides 
or x belongs to (–infinity, 0)U(1, infinity)(x – 1)/x is greater than 0is less than 0(1/x) – 1 
Aditya Gupta
2075 Points
2 years ago
due to technical error the it has become impossible to write the solution. but all you gotta do is to take log base e both sides and then solve using wavy curve method to get the final CORRECT answer as:
x belongs to :
(–infinity, 0)U(1, infinity)

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