TIFR ECE 2015 | Question: 11

Question

For $x>0$, for which range of values of $\alpha$ is the following inequality true?
\[
x \log _{e}(x) \geq x-\alpha
\]

• A. $\alpha \geq 1 / 2$
• B. $\alpha \geq 0$
• C. $\alpha \leq 2$
• D. $\alpha \geq 1$
• E. None of the above