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How many solutions satisfy the inequality \(-1\leq x<4\) with \(x\in\mathbb{Z}\)?असमानता \(-1\leq x<4\) तथा \(x\in\mathbb{Z}\) को संतुष्ट करने वाले कुल कितने हल हैं?
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Correct answer:सही उत्तर: 55
The interval includes \(-1\) because of \(\leq\), but excludes \(4\) because of \(<\). Thus the integer solutions are \(-1,0,1,2,3\), giving a total of \(5\) solutions. Exam tip: include an endpoint marked by \(\leq\) and exclude one marked by \(<\).दिए गए अंतराल में \(-1\) शामिल है, जबकि \(4\) शामिल नहीं है। इसलिए पूर्णांक हल \(-1,0,1,2,3\) हैं। इनकी कुल संख्या \(5\) है। परीक्षा-युक्ति: \(\leq\) वाले छोर को गिनें और \(<\) वाले छोर को न गिनें।
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