Solve the following system of inequalities graphically: 2x + y ≥ 8, x + 2y ≥ 10

Solution:

2x + y ≥ 8 ....(1)

x + 2 y ≤ 10 ....(2)

The graphs of the lines, 2x + y = 8 and x + 2 y = 10 are drawn in the figure below.

Inequality 2x + y ≥ 8 represents the region below the line, 2x + y = 8 (including the line).

Inequality x + 2y ≤ 10 represents the region on the right hand side of the line, x + 2 y = 10 (including the line).

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 7

Solve the following system of inequalities graphically: 2x + y ≥ 8, x + 2y ≥ 10

Summary:

Linear inequations 2x + y ≥ 8, x + 2y ≥ 10 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