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प्रश्न
Solve each of the following system of equations in R.
10 ≤ −5 (x − 2) < 20
उत्तर
\[10 \leq - 5\left( x - 2 \right) < 20\]
\[ \Rightarrow 10 \leq - 5x + 10 < 20\]
\[ \Rightarrow 10 - 10 \leq - 5x < 20 - 10 (\text{ Substracting 10 from all three terms })\]
\[ \Rightarrow 0 \leq - 5x < 10\]
\[ \Rightarrow 0 \geq x > - 2 (\text{ Dividing all three terms by } - 5 )\]
\[ \Rightarrow x \in ( - 2, 0]\]
Hence, the interval (-2,0] is the solution of the given set of inequations.
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