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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: $\text{x}-2\leq\frac{5\text{x}+8}{3}$
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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 $[-7,\infty)$

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