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Linear Inequations — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLinear Inequations3 Marks
Question
Solve the following linear inequations in R: $\frac{5-2\text{x}}{3}<\frac{\text{x}}{6}-5$
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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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