# NCERT Solutions for Class 11-science Maths Chapter 6 - Linear Inequalities

Page / Exercise

## Chapter 6 - Linear Inequalities Exercise Ex. 6.1

Solution 1 Solution 2 Solution 3 Solution 4 Solution 5 Solution 6 Solution 7 Solution 8 Solution 9 Solution 10 Solution 11 Solution 12 Solution 13 Solution 14 Solution 15 Solution 16 Solution 17 Solution 18 Solution 19 Solution 20 Solution 21 Solution 22 Solution 23 Solution 24 Solution 25 Solution 26 ## Chapter 6 - Linear Inequalities Exercise Ex. 6.2

Solution 1 Solution 2 Solution 3 Solution 4 Solution 5 Solution 6 Solution 7 Solution 8 Solution 9 Solution 10 ## Chapter 6 - Linear Inequalities Exercise Ex. 6.3

Solution 1 Solution 2 Solution 3 Solution 4 Solution 5 Solution 6  Solution 7  Solution 8 Solution 9 Solution 10

x + y ≥ 4   … (1)

2x – y < 0  … (2)

The graph of the lines, x + y = 4 and 2x – y = 0 are drawn in the figure below.

Inequality (1) represents the region above the line x + y = 4. (including the line x + y = 4)

It is observed that (–1, 0) satisfies the inequality, 2x – y < 0.

[2(-1) – 0 = -2< 0]

Therefore, inequality (2) represents the half plane corresponding to the line, 2x – y = 0 containing the point (-1, 0). [excluding the line 2x – y < 0]

Hence, the solution of the given system of linear inequalities is represented by the common shaded region including the points on the line x + y = 4 and excluding the points on line 2x – y = 0 as follows: Solution 11 Solution 12 Solution 13 Solution 14 Solution 15 ## Chapter 6 - Linear Inequalities Exercise Misc. Ex.

Solution 1 Solution 2 Solution 3 Solution 4 Solution 5  Solution 6 Solution 7 Solution 8 Solution 9 Solution 10 Solution 11 Solution 12 Solution 13 Solution 14 