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Which of the following inequalities has the solution set \(x>8\)?निम्नलिखित में से किस असमानता का हल समुच्चय \(x>8\) है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(3x+1>25\)\(3x+1>25\)
Option B gives \(3x+1>25\), so \(3x>24\) and hence \(x>8\). Dividing by the positive number 3 keeps the inequality sign unchanged. The other options give, respectively, \(x\geq 8\), \(x<8\), and \(x\leq 8\).विकल्प B से \(3x+1>25\), इसलिए \(3x>24\) और फिर \(x>8\) मिलता है। धनात्मक संख्या 3 से भाग देने पर असमानता का चिह्न नहीं बदलता। अन्य विकल्पों से क्रमशः \(x\geq 8\), \(x<8\) और \(x\leq 8\) मिलते हैं।
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