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Ex 6.3, 6 - Solve graphically: x + y <= 6, x + y >= 4 - Teachoo

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

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Transcript

Ex 6.3, 6 Solve the following system of inequalities graphically: x + y ≤ 6, x + y ≥ 4 First we solve x + y ≤ 6 Lets first draw graph of x + y = 6 Putting y = 0 in (1) x + 0 = 6 x = 6 Putting x = 0 in (1) 0 + y = 6 y = 6 Points to be plotted are (0,6) , (6,0) Drawing graph Checking for (0,0) Putting x = 0, y = 0 x + y ≤ 6 0 + 0 ≤ 6 0 ≤ 6 which is true Hence origin lies in the plane x + y ≥ 4 So, we shade the left side of line Now we solve x + y ≥ 4 Lets first draw graph of x + y = 4 Putting x = 0 in (1) 0 + y = 4 y = 4 Putting y = 0 in (1) x + 0 = 4 x = 4 Drawing graph Checking for (0,0) Putting x = 0, y = 0 x + y ≥ 4 0 + 0 ≥ 4 0 ≥ 5 which is false Hence origin does not lie in plane x + y ≥ 4 So, we shade the right side of line Hence the shaded region represents the given in equality Points to be plotted are (0,4) , (4,0)

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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.