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Solve Each of the Following System of Equations in R. 0 < − X 2 < 3 - Mathematics

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प्रश्न

Solve each of the following system of equations in R. 

\[0 < \frac{- x}{2} < 3\] 

उत्तर

\[0 < \frac{- x}{2} < 3\]
\[ \Rightarrow 0 < - x < 6 (\text{ Multiplying throughout by } 2)\]
\[ \Rightarrow 0 > x > - 6 (\text{ Multiplying throughout by } - 1)\]
\[ \Rightarrow x \in ( - 6, 0) \]
\[\text{ Hence, the interval ( - 6, 0) is the solution of the given set of inequations } .\]

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पाठ 15: Linear Inequations - Exercise 15.2 [पृष्ठ १५]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 15 Linear Inequations
Exercise 15.2 | Q 18 | पृष्ठ १५

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