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What is the solution of the inequality \(\frac{2x+5}{3}-1>4\)?असमानता \(\frac{2x+5}{3}-1>4\) का हल क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x>5\)\(x>5\)
Adding 1 to both sides gives \(\frac{2x+5}{3}>5\). Multiplying by 3 yields \(2x+5>15\), so \(2x>10\) and hence \(x>5\). Since the original inequality is strict, 5 is not included; therefore, \(x\geq 5\) is not correct. In an exam, remember that a strict inequality excludes its boundary point.पहले दोनों पक्षों में 1 जोड़ने पर \(\frac{2x+5}{3}>5\) मिलता है। 3 से गुणा करने पर \(2x+5>15\), इसलिए \(2x>10\) और \(x>5\)। चूँकि मूल असमानता में \(>\) है, इसलिए 5 शामिल नहीं होगा; अतः \(x\geq 5\) सही नहीं है। परीक्षा में सख्त असमानता के लिए सीमा-बिंदु को शामिल न करना याद रखें।
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