Linear Inequalities — MATHS STD 11 Science — Question
Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSLinear Inequalities3 Marks
Question
Solve for x, the inequalities Exercises. $-5\leq\frac{2-3\text{x}}{4}\leq9$
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Answer
Given that $-5\leq\frac{2-3\text{x}}{4}\leq9$ $\Rightarrow-20\leq2-3\text{x}\leq36$ $\Rightarrow-20-2\leq-3\text{x}\leq36-2$ $\Rightarrow-22\leq-3\text{x}\leq34$ $\Rightarrow\frac{22}{3}\geq\text{x}\geq\frac{-34}{3}$ Hence $\text{x}\in\Big[\frac{-34}{3}, \frac{22}{3}\Big]$
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