Question 3 - Solving Pair of Linear Inequalities - Chapter 5 Class 11 Linear Inequalities
Last updated at April 16, 2024 by Teachoo
Solving Pair of Linear Inequalities
Solving Pair of Linear Inequalities
Last updated at April 16, 2024 by Teachoo
Ex6.3, 3 Solve the following system of inequalities graphically: 2x + y 6, 3x + 4y 12 First we solve 2x + y 6 Lets first draw graph of 2x + y = 6 Drawing graph Checking for (0,0) Putting x = 0, y = 0 2x + y 6 2(0) + (0) 6 0 6 which is false So, we shade right side of line Hence origin does not lie in plane 2x + y 6 Now we solve 3x + 4y 12 Lets first draw graph of 3x + 4y = 12 Drawing graph Checking for (0,0) Putting x = 0, y = 0 3x + 4y 12 3(0) + 2(0) 12 0 12 which is true Hence origin lies in plane 3x + 2y > 6 . So, we shade left side of line Hence the shaded region represents the given inequality.