Question
Solve the following linear inequations in R: $2(3-\text{x})\geq\frac{\text{x}}{5}+4$
✓
Answer
$2(3-\text{x})\geq\frac{\text{x}}{5}+4$ $\Rightarrow6-2\text{x}\geq\frac{\text{x}}{5}+4$ $\Rightarrow-2\text{x}-\frac{\text{x}}{5}\geq4-6$ $\Rightarrow\frac{-11\text{x}}{5}\geq-2$ $\Rightarrow\frac{11\text{x}}{5}\leq2$ $\Rightarrow\text{x}\leq\frac{10}{11}$ $\Big(-\infty,\frac{10}{11}\Big]$ is the solution set.
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