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If \(5x+2\) is non-negative, which inequality for \(x\) is correct?यदि \(5x+2\) ऋणात्मक नहीं है, तो \(x\) के लिए सही असमता कौन-सी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x\geq -\frac{2}{5}\)\(x\geq -\frac{2}{5}\)
‘Non-negative’ means \(5x+2\geq 0\). Therefore, \(5x\geq -2\), and dividing by 5 gives \(x\geq -\frac{2}{5}\). Option B is incorrect because it excludes the endpoint \(x=-\frac{2}{5}\). Exam tip: whenever an expression is described as ‘not negative,’ include the equality case.‘ऋणात्मक नहीं’ का अर्थ \(5x+2\geq 0\) होता है। अतः \(5x\geq -2\), और 5 से भाग देने पर \(x\geq -\frac{2}{5}\) प्राप्त होता है। विकल्प B गलत है क्योंकि वह \(x=-\frac{2}{5}\) को शामिल नहीं करता। परीक्षा-युक्ति: ‘नहीं’ वाले कथनों में बराबरी की स्थिति अवश्य जाँचें।
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