Question 4 - Graph - 2 or more Equation - Chapter 5 Class 11 Linear Inequalities

Last updated at April 16, 2024 by

Example 12 - Solve x + y >= 5 , x - y <= 3 graphically - Graph - 2 or more Equation

Example 12 - Chapter 6 Class 11 Linear Inequalities - Part 2
Example 12 - Chapter 6 Class 11 Linear Inequalities - Part 3
Example 12 - Chapter 6 Class 11 Linear Inequalities - Part 4

Transcript

Question 4 Solve the following system of linear inequalities graphically. x + y ≥ 5 , x – y ≤ 3 First we solve x + y ≥ 5 Lets first draw graph of x + y = 5 Drawing graph Checking for (0,0) Putting x = 0, y = 0 x + y ≥ 5 0 + 0 ≥ 5 0 ≥ 5 which is false Hence origin does not lie in plane x + y ≥ 5. So, we shade the right side of line Now we solve x – y ≤ 3 Lets first draw graph of x – y = 3 Drawing graph Checking for (0,0) Putting x = 0, y = 0 x – y ≤ 3 0 – 0 ≤ 3 0 ≤ 3 which is true Hence origin lies in plane x + y ≥ 5. 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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.