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Solve the following systems of linear inequalities graphically : x gt y , x lt 1, y gt 0.

Answer» <html><body><p></p>Solution :<img src="https://doubtnut-static.s.llnwi.net/static/physics_images/MBD_TEP_MAT_XII_P01_C07_E03_006_S01.png" width="80%"/> <br/> Step-2 : Let us consider a point (2,<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>) that does not lie on any of the lines. Putting x = 2, y = 2 In the inequalities we get <by> `<a href="https://interviewquestions.tuteehub.com/tag/rarr-1175461" style="font-weight:bold;" target="_blank" title="Click to know more about RARR">RARR</a>` (2,1) satisfies x `gt` y and y `gt` 0 but does not satisfy x `lt` 1 thus the <a href="https://interviewquestions.tuteehub.com/tag/shaded-1204458" style="font-weight:bold;" target="_blank" title="Click to know more about SHADED">SHADED</a> <a href="https://interviewquestions.tuteehub.com/tag/region-1182095" style="font-weight:bold;" target="_blank" title="Click to know more about REGION">REGION</a> is the solution region.</by></body></html>


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