Check sibling questions

Ex 6.3, 4 - Solve x + y >= 4, 2x - y < 0 graphically - Graph - 2 or more Equation

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

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Transcript

Ex6.3, 4 Solve the following system of inequalities graphically: x + y ≥ 4, 2x – y < 0 First we solve x + y ≥ 4 Lets first draw graph of x + y = 3 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 Now we solve 2x – y < 0 Lets first draw graph of 2x – y = 0 Drawing graph Checking for (4,0) Putting x = 4, y = 0 2x – y < 0 2(4) – 0 < 0 8 > 0 which is false Hence (4,0) does not lie in plane 2x – y > 0 So, we shade left side of line Hence the shaded region is the solution of 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.