Solve the following linear inequations in R: 5-2x 3 < x 6 -5 - Vidyadip

Question

Solve the following linear inequations in R:
$\frac{5-2\text{x}}{3}<\frac{\text{x}}{6}-5$

✓

Answer

$\frac{5-2\text{x}}{3}<\frac{\text{x}}{6}-5$
$\frac{5-2\text{x}}{3}<\frac{\text{x}-30}{6}$
6(5 - 2x) < 3 (x - 30)
30 - 12x < 3x - 90
-12x - 3x < -90 - 30
- 15x < -120
15x > 120
$\text{x}>\frac{120}{15}=8$
$\therefore$ The solution set is $(8,\infty)$

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