Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ Question **11**: Solve the following system of inequalities graphically: 2 4, 3, 2 3 6 Solution **11**: 2x y4....... 1 x y 3....... 2 2x3y6....... 3 The graph of the lines, 2x y 4, x y 3and 2 3 6 x y x y x y x y , are drawn in the figure below. Inequality (1) represents the region above the line, 2x y 4 (including the line 2x y 4). Inequality (2) represents the region below the line, x y 3 (including the line x y 3 Inequality (3) represents the region above the line, 2 3 6 (including the line 2 3 6 ). Hence, the solution of the given system of linear inequalities is represented by the common shaded region including the points on the respective lines as follows. x y x y ). Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ Question 12: Solve the following system of inequalities graphically: x 2y 3, 3x 4y 12, x 0, y 1 Solution 12: x2y 3....... 1 3x4y12........ 2 y 1..... 3 The graph of the lines, x 2 3, 3x 4y 12 and y 1, are drawn in the figure below. Inequality (1) represents the region above the line, x2y 3 (including the line x2y 3). Inequality (2) represents region above the line, 3 4 12 (including the line 3 4 12 ). x Inequality (3) represents the region above the line, y inequality, x 0 , represents the region on the right and side of y 1 (including the line y axis (including x y y 1). The y axis). Hence, the solution of the given system of linear inequalities is represented by the common shaded region including the points on the respective lines and y axis as follows. Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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