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Which is the correct representation of (x\notin(-3,5]) on the number line?संख्या रेखा पर (x\notin(-3,5]) का सही निरूपण कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ((-\infty,-3]\cup(5,\infty))((-\infty,-3]\cup(5,\infty))
The given interval excludes (-3) and includes (5), so its complement includes (-3) and excludes (5). In exams, check endpoint inclusion carefully while taking complements.दिए गए अंतराल में (-3) शामिल नहीं है और (5) शामिल है, इसलिए पूरक में (-3) शामिल और (5) बाहर होगा। परीक्षा में पूरक लेते समय सिरों की स्थिति बदलकर जाँचें।
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