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If \(x\in(-4,1)\), in which interval will (-2x) lie?यदि \(x\in(-4,1)\) है, तो (-2x) किस अंतराल में होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([-2,8))([-2,8))
Multiplying by (-2) reverses order: (x\le 1) gives (-2x\ge -2), and (x>-4) gives (-2x<8). Thus the interval is ([-2,8)).(-2) से गुणा करने पर क्रम उलटता है: \(x\le 1\) से \(-2x\ge -2\) और \(x>-4\) से \(-2x<8\)। इसलिए अंतराल \([-2,8]\) है।
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