Question

In 1/x-2 <0 can cross multiplication not be used to solve and why ?

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{given}\mathrm{inequation}\mathrm{is}, \\ \frac{1}{\mathrm{x}-2}<0 \\ \mathrm{Since},1>0,\mathrm{so}\frac{1}{\mathrm{x}-2}<0\mathrm{if} \\ \left(\mathrm{x}-2\right)<0 \\ \mathrm{or}\mathrm{x}-2+2<0+2 \\ \mathrm{or}\mathrm{x}<\hspace{0.17em}2. \end{gathered}$$