Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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P 5 X + 8 4 − X < 2 - Mathematics

\[\frac{5x + 8}{4 - x} < 2\]

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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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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 15 Linear Inequations
Exercise 15.1 | Q 25 | Page 10
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