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5 X 2 + 3 X 4 ≥ 39 4 - Mathematics

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प्रश्न

\[\frac{5x}{2} + \frac{3x}{4} \geq \frac{39}{4}\]

उत्तर

\[\frac{5x}{2} + \frac{3x}{4} \geq \frac{39}{4}\]
\[ \Rightarrow \frac{10x + 3x}{4} \geq \frac{39}{4}\]
\[ \Rightarrow 10x + 3x \geq 39\]
\[ \Rightarrow 13x \geq 39\]
\[ \Rightarrow x \geq \frac{39}{13} (\text{ Dividing both the sides by } 13)\]
\[ \Rightarrow x \geq 3\]
\[\text{ Hence, the solution set of the given inequation is } [3, \infty ) .\]

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

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आरडी शर्मा Mathematics [English] Class 11
पाठ 15 Linear Inequations
Exercise 15.1 | Q 12 | पृष्ठ १०

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