यदि \(x+y\le9\), \(x-y\le3\), \(y\ge1\), \(x\ge0\) हैं, तो (y=1) पर हल क्षेत्र का दायां अंतिम बिंदु कौन सा है?
If \(x+y\le9\), \(x-y\le3\), \(y\ge1\), \(x\ge0\), what is the right endpoint of the solution region on (y=1)?
Explanation opens after your attempt
Correct Answer
B. ( (4,1) )
Concept
At (y=1), \(x\le8\) and \(x\le4\), so the tighter limit is (x=4). For the right endpoint, choose the smaller upper bound from all constraints.
Why this answer is correct
The correct answer is B. ( (4,1) ). At (y=1), \(x\le8\) and \(x\le4\), so the tighter limit is (x=4). For the right endpoint, choose the smaller upper bound from all constraints.
Exam Tip
(y=1) पर \(x\le8\) और \(x\le4\), इसलिए कड़ी सीमा (x=4) है। दाएं अंतिम बिंदु के लिए सभी ऊपरी सीमाओं में छोटी सीमा चुनें।
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