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

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  1. Chapter 6 Class 11 Linear Inequalities
  2. Serial order wise
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Example 12 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
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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