Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ Question 15: Solve the following system of inequalities graphically: x 2y 10, x y 1, x y 0, x 0, y 0 Solution 15: x2y10 ....... 1 x y 1...... 2 x y 0..... 3 The graph of the lines, x 2y 10, x y 1 and Inequality (1) represents the region below the line, x y 0 x2y 10 , are drawn in the figure below. (including the line x2y 10 Inequality (2) represents the region above the line, x y 1 (including the line x y 1). Inequality (3) represents the region above the line, x y 0 (including the line x y 0 ). Since x 0 and 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.

Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ Miscellaneous Exercise Question 1: Solve the inequality 2 3 4 5 Solution 1: 2 3x 4 5 2 4 3x 4 4 5 4 6 3x 9 2 x 3 x Thus, all the real numbers, x, which are greater than or equal to 2 but less than or equal to 3, are the solutions of the given inequality. The solution set for the given inequality is [2, 3]. Question 2: Solve the inequality Solution 2: 6 3 2x 4 12 2 2x 4 4 2 2x 4 4 6 3 2x 4 12 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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