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आलेखीय विधि द्वारा निम्न असमिकाओं को हल कीजिए -
(i) `3x-yge6`
(ii) `2x-yge1`

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दिया है : `3x-yge6` … (i)
असमिका (i) के संगत रैखिक समीकरण
`3x-y=6`
`rArry=3x-6` …(ii)
`{:(" "x," "0," "2," "3," "4),(" "y," "-6," "0," "3," "6):}`
स्पष्टतः O(0,0) ,(ii) को संतुष्ट नहीं करता । इसलिए O(0,0) आलेख का बिंदु नहीं होगा। उपरोक्त तालिका को ध्यान में रखते हुए निम्न आलेख खींचे|
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उपरोक्त आलेख में छायांकित क्षेत्र दी गयी असमिका का हल है।
(ii) दिया है : `2x-yge1`
संगत रैखिक समीकरण 2x-y=1
`rArry=2x-1`
`{:(" "x," "0," "1//2," "1," "2),(" "y," "-1," "0," "1," "3):}`
मूल बिंदु (0,0) सरल रेखा पर स्थित नहीं है । क्योंकि (0,0) दी गयी असमिका को संतुष्ट नहीं करता।
`rArr` बिंदु (0,0) ग्राफ के क्षेत्र में नहीं आता । इसलिए दूसरी ओर के क्षेत्र को छायांकित करें ।इस प्रकार छायांकित क्षेत्र दी गयी असमिका का हल समुच्चय है।
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