Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ Question 13: Solve the following system of inequalities graphically: 4x 3y 60, y 2 x, x 3, x, y 0 Solution 13: 4x3y60...... 1 y 2 x...... 2 x 3....... 3 The graph of the lines, 4 3 60, 2 x y y x Inequality (1) represents the region below the line, 4x3y 60). x 3, are drawn in the figure below. 4x3y 60 Inequality (2) represents the region above the line, y 2x y 2x). Inequality (3) represents the region on the right hand side of the line, x 3). (including the line (including the line 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. 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 14: Solve the following system of inequalities graphically: 3x 2y 150, x 4y 80, x 15, y 0, x 0 Solution 14: 3x2y150 ..... 1 x4y 80...... 2 x 15..... 3 The graph of the lines, 3 2 150, 4 80 x y x y and Inequality (1) represents the region below the line, x 15, are drawn in the figure below. 3x2y 150 3x2y 150 ). Inequality (2) represents the region below the line, x4y 80 (including the line line x4y 80 ). Inequality (3) represents the region on the left hand side the line, (including the line Since and x 0 x 15). (including the x 15 y 0, every point in the common shaded region in the first quadrant including the points on the respective lines 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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