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Ex 6.3, 8 - Solve x + y <= 9, y > x, x >= 0 graphically - Ex 6.3

Ex 6.3,  8 - Chapter 6 Class 11 Linear Inequalities - Part 2
Ex 6.3,  8 - Chapter 6 Class 11 Linear Inequalities - Part 3 Ex 6.3,  8 - Chapter 6 Class 11 Linear Inequalities - Part 4 Ex 6.3,  8 - Chapter 6 Class 11 Linear Inequalities - Part 5

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Ex 6.3, 8 Solve the following system of inequalities graphically: x + y ≤ 9, y > x, x ≥ 0 First we solve x + y ≤ 9 Lets first draw graph of x + y = 9 Putting x = 0 in (1) 0 + y = 9 y = 9 Putting y = 0 in (1) x + 0 = 9 x = 9 Points to be plotted are (0, 9), (9, 0) Drawing graph Checking for (0,0) Putting x = 0, y = 0 x + y ≤ 9 0 + 0 ≤ 9 0 ≤ 9 which is true Hence origin lies in plane x + y ≤ 9 So, we shade left side of line Now we solve y > x Lets first draw graph of y = x Putting x = 0 in (2) y = 0 Putting x = 2 in (2) y = 2 Points to be plotted are (0,0), (2,2) Drawing graph Checking for (9,0) Putting x = 9, y = 0 y > x 0 > 9 which is false Hence (9,0) does not lie in plane x > y So, we shade left side of line Also, x ≥ 0 So, we shade right side of y axis Hence the shaded region represents the given inequality

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.