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If \(x+5<12\) and \(0\leq x\), which integer values of \(x\) are possible?यदि \(x+5<12\) और \(0\leq x\), तो \(x\) के कौन-कौन से पूर्णांक मान संभव हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\{0,1,2,3,4,5,6\}\)\(\{0,1,2,3,4,5,6\}\)
Subtracting 5 from both sides of \(x+5<12\) gives \(x<7\). Together with \(0\leq x\), the possible integer values of \(x\) are \(\{0,1,2,3,4,5,6\}\). The value 7 is excluded because \(7<7\) is false. Exam tip: In a strict inequality such as \(<\), the boundary value is not included.असमानता \(x+5<12\) में दोनों पक्षों से 5 घटाने पर \(x<7\) प्राप्त होता है। साथ ही \(0\leq x\) है, इसलिए \(x\) के पूर्णांक मान 0 से 6 तक होंगे: \(\{0,1,2,3,4,5,6\}\)। 7 शामिल नहीं है, क्योंकि \(7<7\) असत्य है। परीक्षा-युक्ति: सख्त असमानता \(<\) में सीमा मान शामिल नहीं होता।
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