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Which statement is equivalent to \(-1<x\le 6\) ?\(-1<x\le 6\) के समतुल्य (equivalent) कौन-सा कथन है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x>-1\) and \(x\le 6\)\(x>-1\) और \(x\le 6\)
The compound inequality \(-1<x\le 6\) means two conditions: (i) \(x>-1\) and (ii) \(x\le 6\). Both must be true at the same time, so the equivalent statement is \(x>-1\) and \(x\le 6\).यौगिक असमिका \(-1<x\le 6\) दो शर्तें दर्शाती है: (i) \(x>-1\) और (ii) \(x\le 6\)। ये दोनों शर्तें एक साथ सत्य होनी चाहिए, इसलिए समतुल्य कथन \(x>-1\) और \(x\le 6\) है।
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