Solve the following linear inequations in R: 2(3-x) x 5 +4 - Vidyadip

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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