Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ Question 9: Solve the following system of inequalities graphically: 5 4 20, 1, 2 Solution 9: 5x4y 20 ....... 1 x 1........ 2 y 2....... 3 The graph of the lines, 5x 4y 20, x 1 and y 2 Inequality (1) represents the region below the line, x y x y , are drawn in the figure below. 5x4y 20 (including the line 5x4y 20). Inequality (2) represents the region on the right hand side of the line, (including the line x 1). Inequality (3) represents the region above the line, the line y 2 ). y 2 x 1 (including 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. 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 10: Solve the following system of inequalities graphically: 3 4 60, 3 30, 0, 0 Solution 10: 3x4y 60 ....... 1 x3y30....... 2 The graph of the lines, 3 4 60 x y and x3y 30 Inequality (1) represents the region below the line, 3x4y 60), line Since x3y 30 x 0 and x y x y x y , are drawn in the figure below. 3x4y 60 and inequality (2) represents the region below the line, ). (including the line x3y 30 (including the y 0, every point in the common shaded region in the first quadrant including the points on the respective line and the axes represents the solution of the given system of linear inequalities. 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 12 - Introduction

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Class XI Chapter 13 - Limits and De

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