Using an algebraic method, find the range of values of \(x\) for which \(3+\frac{10}{x-1}\leq\frac{1}{x+2}. \)[4]
Hence find the range of values of \(x\) for which \(3+\frac{10}{e^{-x}-1}\leq\frac{1}{e^{-x}+2}. \)
Show your workings clearly.[2]
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