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If \(x\) is an integer and \(-2<x\le 2\), what is the set of possible values of \(x\)?यदि \(x\) एक पूर्णांक है और \(-2<x\le 2\), तो \(x\) के मानों का समुच्चय क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x\in\{-1,0,1,2\}\)\(x\in\{-1,0,1,2\}\)
The inequality \(-2<x\) excludes \(-2\), while \(x\le 2\) includes \(2\). Therefore, the integer values are \(-1,0,1,2\). Exam tip: a strict sign \(<\) or \(>\) excludes the endpoint, whereas \(\le\) or \(\ge\) includes it. Option A is incorrect because it includes \(-2\).असमानता \(-2<x\) का अर्थ है कि \(-2\) शामिल नहीं है, जबकि \(x\le 2\) के कारण \(2\) शामिल है। इसलिए \(-2\) और \(2\) के बीच के पूर्णांक मान \(-1,0,1,2\) हैं। परीक्षा-युक्ति: \(<\) या \(>\) में सीमा शामिल नहीं होती, जबकि \(\le\) या \(\ge\) में सीमा शामिल होती है।
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