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Ex 6.3, 7 - Solve 2x + y >= 8, x + 2y >= 10 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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Ex6.3, 7 Solve the following system of inequalities graphically: 2x + y ≥ 8, x + 2y ≥ 10 First we solve 2x + y ≥ 8 Lets first draw graph of 2x + y = 8 Drawing graph Checking for (0,0) Putting x = 0, y = 0 2x + y ≥ 8 0 + 0 ≥ 8 0 ≥ 8 which is false . Hence origin does not lie in plane 2x + y ≥ 8 So, we shade right side of line First we solve x + 2y ≥ 10 Lets first draw graph of x + 2y = 10 Drawing graph Checking for (0,0) Putting x = 0, y = 0 x + 2y ≥ 10 2(0)+(0)≥10 0 ≥ 10 which is false .Hence origin does not lie in plane x + 2y ≥ 10 So, we shade right upper side of line Hence the shaded region is the solution of the given in equality

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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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