How to determine the range of time period for a simple pendulum

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I have solved the first part of the problem. While solving the next part I have taken general oscillation(i.e. NOT small oscillations) I have obtained time period T as T=$\ 2\pi(\sqrt(l/g))(1+(1/4)(sin^2(\alpha/2)))$. However I am unable to proceed any further. How can I obtain the inequality?