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Find the solution set of x + (1/x) >= 2.

$x + \frac{1}{x} \geq 2 \Rightarrow \frac{x^{2} + 1}{x} \geq 2 \Rightarrow x^{2} + 1 \geq 2 x \Rightarrow x^{2} - 2 x + 1 \geq 0 \Rightarrow x^{2} - x - x + 1 \geq 0 \Rightarrow x (x - 1) - 1 (x - 1) \geq 0 \Rightarrow (x - 1)^{2} \geq 0 \Rightarrow x \geq 1$

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