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Ex 6.3, 7 - Solve 2x + y >= 8, x + 2y >= 10 graphically - Ex 6.3

Ex 6.3,  7 - Chapter 6 Class 11 Linear Inequalities - Part 2
Ex 6.3,  7 - Chapter 6 Class 11 Linear Inequalities - Part 3
Ex 6.3,  7 - Chapter 6 Class 11 Linear Inequalities - Part 4

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Transcript

Ex 6.3, 7 Solve the following system of inequalities graphically: 2x + y ≥ 8, x + 2y ≥ 10 First we solve 2x + y ≥ 8 Lets first draw graph of 2x + y = 8 Putting x = 0 in (1) 2(0) + y = 6 0 + y = 6 y = 8 Putting y = 0 in (1) 2x + (0) = 6 2x = 8 x = 8/2 x = 4 Points to be plotted are (0, 8), (4, 0) Drawing graph Checking for (0, 0) Putting x = 0, y = 0 2x + y ≥ 8 0 ≥ 8 which is false . Hence origin does not lie in plane 2x + y ≥ 8 So, we shade right side of line First we solve x + 2y ≥ 10 Lets first draw graph of x + 2y = 10 Putting x = 0 in (1) 0 + 2y = 10 2y = 10 y = 10/2 y = 5 Putting y = 0 in (1) x + 2(0) = 10 x + 0 = 10 x = 10 Points to be plotted are (0, 5), (10, 0) Drawing graph Checking for (0, 0) Putting x = 0, y = 0 x + 2y ≥ 10 0 ≥ 10 which is false .Hence origin does not lie in plane x + 2y ≥ 10 So, we shade right upper 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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.