Ex 6.3, 5 - Solve 2x - y > 1, x - 2y < -1 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, 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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