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What are the vertices of the region formed by (x\leq 6), (y\leq 4), (x+2y\geq 10), (x\geq 0), and (y\geq 0)?असमानताओं (x\leq 6), (y\leq 4), (x+2y\geq 10), (x\geq 0), (y\geq 0) से बनने वाले क्षेत्र के शीर्ष कौन से हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ((2,4)), ((6,2)), ((6,4))((2,4)), ((6,2)), ((6,4))
Inside the rectangle (0\leq x\leq 6), (0\leq y\leq 4), the part above (x+2y=10) remains. Hence the vertices are ((2,4)), ((6,2)), and ((6,4)).आयत (0\leq x\leq 6), (0\leq y\leq 4) में रेखा (x+2y=10) के ऊपर का भाग बचता है। इसलिए शीर्ष ((2,4)), ((6,2)), ((6,4)) हैं।
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