Which interval represents (|2x-1|\ge 7) on the number line?असमानता (|2x-1|\ge 7) संख्या रेखा पर किस interval से दर्शाई जाएगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ((-\infty,-3]\cup[4,\infty))((-\infty,-3]\cup[4,\infty))
(|2x-1|\ge 7) gives (2x-1\le -7) or (2x-1\ge 7), so (x\le -3) or (x\ge 4). In exams, absolute value with (\ge) forms closed outer rays.(|2x-1|\ge 7) से (2x-1\le -7) या (2x-1\ge 7), इसलिए (x\le -3) या (x\ge 4)। परीक्षा में (\ge) वाले absolute value में बाहर के closed rays बनते हैं।
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