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Which inequality represents the half-plane containing ((1,1)) but not ((5,5)), with boundary (x+y=6)?कौन-सी असमानता उस अर्धतल को दिखाती है जिसमें ((1,1)) है, पर ((5,5)) नहीं है, सीमा (x+y=6) है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x+y<6)(x+y<6)
At ((1,1)), (2<6), while at ((5,5)), (10>6), so the correct strict half-plane is (x+y<6). Use test points to decide direction.((1,1)) पर (2<6) और ((5,5)) पर (10>6), इसलिए सही सख्त अर्धतल (x+y<6) है। परीक्षण बिंदुओं से दिशा तय करें।
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