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MathNet 2006 — Part 02 Question 194

Math Olympiad Vault · MathNet 2006 — Part 02

Question 194

What values of $x$ satisfy $\frac{1}{x-2}\lt 4$?


(A) $x\lt \frac{9}{4}$


(B) $x\gt 2$


(C) $2\lt x\lt \frac{9}{4}$


(D) $x\lt -2$


(E) $x\lt 2$ or $x\gt \frac{9}{4}$