Solve the following system of inequalities graphically: x + y ≤ 6, x + y ≥ 4

Solution:

x + y ≤ 6 ....(1)

x + y ≥ 4 ....(2)

The graphs of the lines, x + y = 6 and x + y = 4 are drawn in the figure below

Inequality x + y ≤ 6 represents the region below the line, x + y = 6 (including the line x + y = 6).

Inequality x + y ≥ 4 represents the region on the right hand side of the line, x + y = 4 (including the line x + y = 4).

Hence, the solution of the given system of linear inequalities is represented by the common shaded region including the points on the respective lines as follows

NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.3 Question 6

Solve the following system of inequalities graphically: x + y ≤ 6, x + y ≥ 4

Summary:

Linear inequations x + y ≤ 6, x + y ≥ 4. is given. We have found that the solution of the given system of linear inequalities is represented by the common shaded region including the points on the respective lines