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2 X − 3 3 X − 7 > 0 - Mathematics

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Question

\[\frac{2x - 3}{3x - 7} > 0\] 

Solution

\[\frac{2x - 3}{3x - 7} > 0\]
\[\text{ Equating } 2x - 3 \text{ and } 3x - 7 \text{ to zero, we obtain } x = \frac{3}{2}, \frac{7}{3} \text{ as the critical points } . \]

\[\therefore x \in \left( - \infty , \frac{3}{2} \right) \cup \left( \frac{7}{3}, \infty \right)\]

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Chapter 15: Linear Inequations - Exercise 15.1 [Page 10]

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RD Sharma Mathematics [English] Class 11
Chapter 15 Linear Inequations
Exercise 15.1 | Q 20 | Page 10

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