Question 5 - Solving Pair of Linear Inequalities - Chapter 5 Class 11 Linear Inequalities

Last updated at Dec. 16, 2024 by

Ex 6.3, 5 - Solve 2x - y > 1, x - 2y < -1 graphically - Graph - 2 or more Equation

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

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Ex6.3, 5 Solve the following system of inequalities graphically: 2x y > 1, x 2y < 1 First we solve 2x y > 1 Lets first draw graph of 2x y = 1 Drawing graph Checking for (0,0) Putting x = 0, y = 0 2x y > 1 2(0) + (0) > 1 0 > 1 which is false Hence origin does not lie in plane 2x + y 6 So, we shade right side of line Now we solve x 2y < -1 Lets first draw graph of x 2y = 1 Drawing graph Checking for (0,0) Putting x = 0, y = 0 x 2y < -1 0 - 2(0) < -1 0 < -1 which is false Hence origin does not lie in plane 2x + y 6 So, we shade left side of line 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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo