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MathNet 2007-part-02 — 187 problems (EN–VI) Question 145

Math Olympiad Vault · MathNet 2007-part-02 — 187 problems (EN–VI)

Question 145

Find all real values of $x$ satisfying the inequality
$$
\sqrt{\left(\frac{1}{2-x}+1\right)^{2}} \geq 2
$$