Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ Exercise 6.3 Question 1: Solve the following system of inequalities graphically: Solution 1: x 3....... 1 y 2....... 2 The graph of the lines, x 3 and x3, y2 y 2,are drawn in the figure below. Inequality (1) represents the region on the right hand side of the line, (including the line y = 2). x 3), and inequality (2) represents the region above the line, . y 2 x 3 (including the line 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. Question 2: Solve the following system of inequalities graphically: 3 2 12, 1, 2 Solution 2: 3x2y12........ 1 x 1....... 2 y 2....... 3 x y x y The graphs of the lines, 3x 2y 12, x 1, and y 2 , are drawn in the figure below. 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 ______________________________________________________________________________ Inequality (1) represents the region below the line, 3x2y 12). the line y 2 ). 3x2y 12 (including the line Inequality (2) represents the region on the right side of the line, x 1 (including x 1). Inequality (3) represents the region above the line, y 2 (including the line 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. Question 3: Solve the following system of inequalities graphically: 2 6, 3 4 12 Solution 3: 2x y 6....... 1 3x4y12....... 2 x y x y The graph of the lines, 2x y 6 and 3x4y 12 , are drawn in the figure below. Inequality (1) represents the region above the line, 2 6 (including the line 2 6 ), and inequality x y (2) represents the region below the line, 3 4 12 x y x y (including the line 3 4 12 ). 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 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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