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Question 1 Solve the following inequalities graphically in two-dimensional plane: x + y < 5 x + y < 5 Lets first draw graph of x + y = 5 Putting x = 0 in (1) 0 + y = 5 y = 5 Putting y = 0 in (1) x + 0 = 5 x = 5 Drawing graph Checking for (0,0) Putting x = 0, y = 0 x + y < 5 0 + 0 < 5 0 < 5 which is true Hence, Origin lies in plane x + y < 5 . So, we shade left side of line

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo