Solve the following system of inequalities graphically: 5x + 4 y ≤ 20, x ≥ 1, y ≥ 2

Solution:

5x + 4 y ≤ 20 ....(1)

x ≥ 1 ....(2)

y ≥ 2 ....(3)

The graph of the lines, 5x + 4 y = 20 , x = 1 and y = 2 , are drawn in the figure below.

Inequality 5x + 4y ≤ 20 represents the region below the line, 5x + 4 y = 20 (including the line 5x + 4 y = 20)

Inequality x ≥ 1 represents the region below the line, x = 1 (including the line x = 1).

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

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 9

Solve the following system of inequalities graphically: 5x + 4 y ≤ 20, x ≥ 1, y ≥ 2

Summary:

Linear inequations 5x + 4 y ≤ 20, x ≥ 1, y ≥ 2 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