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Question
\[\frac{5x + 8}{4 - x} < 2\]
Solution
\[\text{ We have }, \frac{5x + 8}{4 - x} < 2\]
\[ \Rightarrow \frac{5x + 8}{4 - x} - 2 < 0\]
\[ \Rightarrow \frac{5x + 8 - 2\left( 4 - x \right)}{4 - x} < 0\]
\[ \Rightarrow \frac{5x + 8 - 8 + 2x}{4 - x} < 0\]
\[ \Rightarrow \frac{7x}{4 - x} < 0\]
\[ \Rightarrow \frac{7x}{x - 4} > 0\]
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