Question
Write the solution set of the inequation $\frac{\text{x}^2}{\text{x}-2}>0$
We have
$\frac{\text{x}^2}{\text{x}-2}>0$
$\Rightarrow\text{x}-2\geq0$ $\Big[\because\frac{\text{a}}{\text{b}}>0$ and $\text{a}>0\Rightarrow\text{b}\geq0\Big]$
$\Rightarrow\text{x}\geq2 $
$\Rightarrow\text{x}\in[2,\infty)$
Hence, the solution set of the given inequation is $[2,\infty)$
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| Outcomes | $\omega_1$ | $\omega_2$ | $\omega_3$ | $\omega_4$ | $\omega_5$ | $\omega_6$ |
| $\frac 16$ | $\frac 16$ | $\frac 16$ | $\frac 16$ | $\frac 16$ | $\frac 16$ |