Solve the following system of inequality graphically: x ≥ 3, y ≥ 2

Solution:

x ≥ 3 ....(1)

y ≥ 2 ....(2)

The graph of the lines, x = 2 and y = 2 are drawn in the figure below

Inequality x ≥ 3 represents the region on the right-hand side of the line, x = 2 (including the line the line x = 2),

and inequality y ≥ 2 represents the region above the line, y = 2 (including 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 follow:

NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.3 Question 1

Solve the following system of inequality graphically: x ≥ 3, y ≥ 2

Summary:

Linear inequations x ≥ 3, 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