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