iran-konkur 2021 Q104

iran-konkur · Other · konkur-riazi_1400_specialized Inequalities Solve Polynomial/Rational Inequality for Solution Set
104- Suppose the solution set of the inequality $\dfrac{((m^2-1)x^2 - 4mx + 4)(x - 3\sqrt{x} + 2)}{3x - 3} > 0$, for $x > \dfrac{3}{2}$, is $[2, 4]$. What is the value of $m$?
(1) $-2$ (2) zero (3) $1$ (4) $2$
\textbf{104-} Suppose the solution set of the inequality $\dfrac{((m^2-1)x^2 - 4mx + 4)(x - 3\sqrt{x} + 2)}{3x - 3} > 0$, for $x > \dfrac{3}{2}$, is $[2, 4]$. What is the value of $m$?

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(1) $-2$ \hfill (2) zero \hfill (3) $1$ \hfill (4) $2$

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