Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ 120 x Thus, all real numbers x, which are less than or equal to 120, are the solutions of the given inequality. Hence, the solution set of the given inequality is . ,120 Question 13: Solve the given inequality for real Solution 13: x x 2 2 3 10 6 2 4x610 6x12 4x4 6x12 4 12 6x4x 82x 4 x x : 2 2x 3 10 6 x 2 Thus, all real numbers x, which are greater than or equal to 4, are the solutions of the given inequality. . 4, Hence, the solution set of the given inequality is Question 14: Solve the given inequality for real Solution 14: 37 3x 5 9x 8 x 3 37 3x 5 9x 8x 24 32 3x x 24 32 24 x3x 84x 2 x x : 37 3x 5 9x 8 x 3 Thus, all real numbers x, which are less than or equal to 2, are the solutions of the given inequality. . , 2 Hence, the solution set of the given inequality is 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 15: Solve the given inequality for real x 5x2 7x3 x : 4 3 5 Solution 15: 5x 2 7x 3 x 4 3 5 x x x 5 5 2 3 7 3 4 15 x 25 x 10 21 x 9 4 15 x 4x1 4 15 15x 4 4x1 15x16x 4 4 16x15x 4 x Thus, all real numbers x, which are greater than 4, are the solutions of the given inequality. Hence, the solution set of the given inequality is 4, . Question 16: Solve the given inequality for real Solution 16: 2x 1 3x 2 2 x 3 4 5 2x 1 53x 2 42 x 3 20 2x 1 15x10 8 4x 3 20 2x 1 19x 18 3 20 x x 20 2 1 3 19 18 40x 20 57x 54 20 54 57x 40x x : 2x 1 3x 2 2 x 3 4 5 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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