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3 X − 2 < 1 - Mathematics

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प्रश्न

\[\frac{3}{x - 2} < 1\]

उत्तर

\[\frac{3}{x - 2} < 1\]
\[ \Rightarrow \frac{3}{x - 2} - 1 < 0\]
\[ \Rightarrow \frac{3 - x + 2}{x - 2} < 0\]
\[ \Rightarrow \frac{- x + 5}{x - 2} < 0\]
\[ \Rightarrow \frac{x - 5}{x - 2} > 0\]

∴ \[x \in \left( - \infty , 2 \right) \cup \left( 5, \infty \right)\]

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अध्याय 15: Linear Inequations - Exercise 15.1 [पृष्ठ १०]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 15 Linear Inequations
Exercise 15.1 | Q 21 | पृष्ठ १०

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