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Which interval is obtained on the number line from (4x-9\le 2x+3<5x+12)?असमानता (4x-9\le 2x+3<5x+12) से संख्या रेखा पर कौन-सा अंतराल मिलेगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([-6,\infty))([-6,\infty))
The first part gives (x\le6) and the second gives (x>-3), so the correct common solution is ((-3,6]). In exams, split a compound inequality into two conditions and check carefully.पहले भाग से (x\le6) नहीं बल्कि (x\le6) और दूसरे से (x>-3) मिलता है, इसलिए सही साझा हल ((-3,6]) नहीं है। परीक्षा में संयुक्त असमानता को दो अलग शर्तों में बाँटकर जाँचें।
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