14.02.2018 Views

CLASS_11_MATHS_SOLUTIONS_NCERT

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

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

______________________________________________________________________________<br />

3x<br />

6<br />

<br />

3 3<br />

x 2<br />

(i) The integers greater than<br />

Thus, when x is an integer, the solutions of the given inequality are 1,0,1,2,...<br />

Hence, in this case, the solution set is .<br />

(ii) When x is a real number, the solutions of the given inequality are all the real numbers, which<br />

are greater than 2.<br />

.<br />

2 are<br />

1,0,1,2,...<br />

Thus, in this case, the solution set is <br />

1,0,1, 2,...<br />

2,<br />

<br />

Question 5:<br />

Solve the given inequality for real<br />

Solution 5:<br />

4x3 5x<br />

7<br />

4x37 5x 77<br />

4x4 5x<br />

4x 4 4x 5x 4x<br />

x : 4x 3 5x<br />

7<br />

4 x<br />

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

.<br />

4,<br />

<br />

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

Question 6:<br />

Solve the given inequality for real x : 3x 7 5x<br />

1<br />

Solution 6:<br />

3x7 5x1<br />

3x7 7 5x17<br />

3x 5x<br />

6<br />

3x 5x 5x 6<br />

5x<br />

2x<br />

6<br />

2x<br />

6<br />

<br />

2 2<br />

x 3<br />

Thus, all real numbers x, which are less than 3, are the solutions of the given inequality.<br />

Hence, the solution set of the given inequality is , 3.<br />

Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a<br />

Top tutor.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!