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Consider the following statements :
Statement I : x > sinx for all x > 0
Statement II : f(x) = x – sinx is an increasing function for all x > 0

Which one of the following is correct in respect of the above statements?

Mathematics 2017 NDA Mathematics 2017 NDA 2017

Options

Both Statement I and Statement II are true and Statement II is the correct explanation of Statement I

Both Statement I and Statement II are true and Statement II is not the correct explanation of Statement I

Statement I is true but Statement II is false

Statement I is false but Statement II is true