Question

$1 + x {2} \div x {2} - 5x + 6 < 0$
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Answer 1

$\frac{1 + x {}^{2} }{x {}^{2} - 5x + 6 } < 0 \\ = > 1 + x {}^{2} < 0 \\ = > x {}^{2} < - 1 \\ = > x < \sqrt{ - 1} \\ = > x < i \: \: \\ i = imaginary \: number$

Answer 2

Answer:

$\begin{lgathered}\frac{1 + x {}^{2} }{x {}^{2} - 5x + 6 } < 0 \\ 1 + x {}^{2} < 0 \\ x {}^{2} < - 1 \\ x < \sqrt{ - 1} \\ x < i \: \: \\ \end{lgathered}$