Question

\[\frac{5x - 6}{x + 6} < 1\]

Answer 1

\[\frac{5x - 6}{x + 6} < 1\]
\[ \Rightarrow \frac{5x - 6}{x + 6} - 1 < 0\]
\[ \Rightarrow \frac{5x - 6 - x - 6}{x + 6} < 0\]
\[ \Rightarrow \frac{4x - 12}{x + 6} < 0\]
\[ \Rightarrow \frac{x - 3}{x + 6} < 0\]

\[\therefore x \in \left( - 6, 3 \right)\]