Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ Question 4: Solve the following system of inequalities graphically: Solution 4: x y4....... 1 2xy0........ 2 x y 4, 2x y 0 The graph of the lines, and 2 0 , are drawn in the figure below. Inequality (1) represents the region above the line, (including the line x y 4 x y observed that (1, 0) satisfies the inequality, 2 0 . x y x y 4 2 1 0 2 0 x y 4 ). It is Therefore, inequality (2) represents the half plane corresponding to the line, , containing the point (1, 0) [excluding the line 2 0 ]. Hence, the solution of the given system of linear inequalities is represented by the common shaded region including the points on line x y 4 and excluding the points on line 2x y 0 as follows. x y 2x y 0 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 5: Solve the following system of inequalities graphically: 2 1, 2 1 Solution 5: 2x y 1........ 1 x 2y 1....... 2 x y x y The graph of the lines, 2 1 and x 2y 1, are drawn in the figure below. Inequality (1) represents the region below the line, 2 1 (excluding the line 2 1 ), and inequality (2) represents the region above the line, (excluding the line x 2y 1). Hence, the solution of the given system of linear inequalities is represented by the common shaded region excluding the points on the respective lines as follows. x y x y x 2y 1 x y 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 4 - Principle of M

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Class XI Chapter 12 - Introduction

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Class XI Chapter 13 - Limits and De

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