Ex 6.3, 9 - Solve 5x + 4y <= 20, x >= 1, y >= 2 - Class 11 - Graph - 2 or more Equation

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Slide12.JPG

  1. Chapter 6 Class 11 Linear Inequalities
  2. Serial order wise
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Ex6.3, 9 Solve the following system of inequalities graphically: 5x + 4y ≤ 20, x ≥ 1, y ≥ 2 First we solve 5x + 4y ≤ 20 Lets first draw graph of 5x + 4y = 20 Drawing graph Checking for (0,0) 5x + 4y ≤ 20 Putting x = 0, y = 0 5(0) + 4(0) ≤ 20 0 ≤ 20 which is true Hence origin lies in plane 5x + 4y ≤ 20 So, we shade left side of line Also, y ≥ 2 So, for all values of x, y = 2 Also, x ≥ 1 So, for all values of y, x = 1 Hence the shaded region represents the given in equality

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