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What is the solution set of the inequality (5-\frac{3x-1}{4}\le 2x+\frac{7}{2})?असमानता (5-\frac{3x-1}{4}\le 2x+\frac{7}{2}) का हल समुच्चय क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({x:x\ge \frac{7}{11}})({x:x\ge \frac{7}{11}})
Multiplying by (\text{LCM}=4) gives (21-3x\le 8x+14), so (x\ge \frac{7}{11}). After removing fractions, move terms to the correct side carefully.लघुत्तम समापवर्त्य (4) से गुणा करने पर (21-3x\le 8x+14) मिलता है, इसलिए (x\ge \frac{7}{11})। भिन्न हटाने के बाद पदों को सही पक्ष में ले जाएँ।
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