Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ Question 6: Solve the following system of inequalities graphically: Solution 6: x y x y 6 ....... 1 4...... 2 x y 6, x y 4 The graph of the lines, x y 6 and x y 4 , are drawn in the figure below. Inequality (1) represents the region below the line, inequality (2) represents the region above the line, x y 6 x y 4 (including the line (including the line x y 6 x y 4 ), and 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 7: Solve the following system of inequalities graphically: 2x y 8, x 2y 10 Solution 7: 2x y 8....... 1 x2y 10........ 2 The graph of the lines, 2 8 x y and x2y 10 Inequality (1) represents the region above the line, region above the line, x2y 10 . , are drawn in the figure below. x2y 8 , and inequality (2) represents the 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 ______________________________________________________________________________ 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 8: Solve the following system of the inequalities graphically: Solution 8: x y9....... 1 y x........ 2 x 0 ........ 3 The graph of the lines, x y 9 and y x Inequality (1) represents the region below the line, observed that (0, 1) satisfies the inequality, the half plane corresponding to the line, y x (including x y 9, y x, x 0 , are drawn in the figure below. y x x y 9 y x. 1 0 (including the line x y 9 ). It is . Therefore, inequality (2) represents , containing the point (0, 1) [excluding the line ]. Inequality (3) represents the region on the right hand side of the line, y axis ) x 0 or y axis Hence, the solution of the given system of linear inequalities is represented by the common shaded region including the points on the lines, x y 9 and x 0 , and excluding the points on line y x as follows. Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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Class XI Chapter 2 - Relations and

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Class XI Chapter 12 - Introduction

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Class XI Chapter 13 - Limits and De

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Class XI Chapter 15 - Statistics Ma

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