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Which set correctly represents \(|x|\ge 3\) ?\(|x|\ge 3\) को सही रूप से कौन-सा समुच्चय (set) दर्शाता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(( -\infty,-3]\cup[3,\infty)\)\(( -\infty,-3]\cup[3,\infty)\)
For \(|x|\ge 3\), we have \(x\le -3\) or \(x\ge 3\). Converting to intervals gives \(( -\infty,-3]\cup[3,\infty)\).\(|x|\ge 3\) के लिए \(x\le -3\) या \(x\ge 3\) होता है। इसे अंतरालों में बदलने पर \(( -\infty,-3]\cup[3,\infty)\) मिलता है।
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