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5 X − 6 X + 6 < 1 - Mathematics

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

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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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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 15 Linear Inequations
Exercise 15.1 | Q 24 | Page 10
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