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CLASS_11_MATHS_SOLUTIONS_NCERT

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Class XI Chapter 6 – Linear Inequalities Maths<br />

______________________________________________________________________________<br />

Question 15:<br />

Solve the given inequality for real<br />

<br />

x 5x2 7x3<br />

x : <br />

4 3 5<br />

Solution 15:<br />

5x<br />

2 7x<br />

3<br />

x <br />

<br />

4 3 5<br />

x x <br />

x 5 5 2 3 7 3<br />

<br />

4 15<br />

x 25 x 10 21 x 9<br />

<br />

4 15<br />

x 4x1<br />

<br />

4 15<br />

15x 4 4x1<br />

15x16x<br />

4<br />

4 16x15x<br />

4 x<br />

<br />

<br />

Thus, all real numbers x, which are greater than 4, are the solutions of the given inequality.<br />

Hence, the solution set of the given inequality is 4, .<br />

Question 16:<br />

Solve the given inequality for real<br />

Solution 16:<br />

2x 1 3x 2 2<br />

x<br />

<br />

3 4 5<br />

2x 1 53x 2 42<br />

x<br />

<br />

3 20<br />

2x 1<br />

15x10 8 4x<br />

<br />

3 20<br />

<br />

<br />

<br />

2x<br />

1 19x<br />

18<br />

<br />

3 20<br />

x x <br />

20 2 1 3 19 18<br />

40x 20 57x<br />

54<br />

20 54 57x<br />

40x<br />

x :<br />

2x 1 3x 2 2<br />

x<br />

<br />

3 4 5<br />

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