Question
Solve the following linear inequations in R:
$\text{x}-2\leq\frac{5\text{x}+8}{3}$
$\text{x}-2\leq\frac{5\text{x}+8}{3}$
✓
Answer
$\text{x}-2\leq\frac{5\text{x}+8}{3}$
$3(\text{x}-2)\leq5\text{x}+8$
$3\text{x}-6\leq5\text{x}+8$
$-2\text{x}\leq14$
$2\text{x}\geq-14$
$\text{x}\geq-7$
$\therefore$ The solution set is $[-7,\infty)$
$3(\text{x}-2)\leq5\text{x}+8$
$3\text{x}-6\leq5\text{x}+8$
$-2\text{x}\leq14$
$2\text{x}\geq-14$
$\text{x}\geq-7$
$\therefore$ The solution set is $[-7,\infty)$
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