Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ 34 17x 2 x 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 . Question 17: Solve the given inequality and show the graph of the solution on number line: 3x2 2x1 Solution 17: 3x2 2x1 3x 2x1 2 x 3 The graphical representation of the solutions of the given inequality is as follows: Question 18: Solve the given inequality and show the graph of the solution on number line: 5x3 3x5 Solution 18: 5x3 3x5 5x3x 5 3 2x 2 2x 2 2 2 x 1 The graphical representation of the solutions of the given inequality is 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 19: Solve the given inequality and show the graph of the solution on number line: 3 1 x 2 x 4 Solution 19: 31 x 2 x 4 33x 2x 8 38 2x3x 5 5x 5 5x 5 5 1 x The graphical representation of the solutions of the given inequality is as follows: Question 20: Solve the given inequality and show the graph of the solution on number line: 5x 2 7x 3 x 2 3 5 Solution 20: 5x 2 7x 3 x 2 3 5 x 5 5x 2 3 7x3 2 15 x 25 x 10 21 x 9 2 15 x 4x1 2 15 15x 2 4x1 15x 8x 2 15x 8x 8x 28x 7x 2 2 x 7 The graphical representation of the solutions of the given inequality is as follows. Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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