Question
Download Solution PDFअसमानता \(\frac{1}{5}\left( {\frac{{3x}}{5} + 4} \right) \ge \frac{1}{3}(x - 6)\) का हल लिखिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
दिया गया है \(\frac{1}{5}\left( {\frac{{3x}}{5} + 4} \right) \ge \frac{1}{3}(x - 6)\)
\(\begin{array}{l} \Rightarrow 3\left( {\frac{{3x}}{5} + 4} \right) \ge 5(x - 6)\\ \Rightarrow \left( {\frac{{9x}}{5} + 12} \right) \ge 5x - 30\\ \Rightarrow \left( {30 + 12} \right) \ge - \frac{{9x}}{5} + 5x\\ \Rightarrow 42 \ge \frac{{ - 9x + 25x}}{5}\\ \Rightarrow 42 \ge \frac{{16x}}{5}\\ \Rightarrow \frac{{42 \times 5}}{{16}} \ge x\\ \Rightarrow x \le \frac{{105}}{8} \end{array}\)
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