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Question
\[\frac{5x - 6}{x + 6} < 1\]
Solution
\[\frac{5x - 6}{x + 6} < 1\]
\[ \Rightarrow \frac{5x - 6}{x + 6} - 1 < 0\]
\[ \Rightarrow \frac{5x - 6 - x - 6}{x + 6} < 0\]
\[ \Rightarrow \frac{4x - 12}{x + 6} < 0\]
\[ \Rightarrow \frac{x - 3}{x + 6} < 0\]
\[\therefore x \in \left( - 6, 3 \right)\]
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