Solve the given inequality graphically in two-dimensional plane: x > - 3

Solution:

The graphical representation of x = - 3 is given as a dotted line in the figure below.

This line divides the XY plane into two half plates.

Select a point (not on the line), which lies in one of the half-planes, to determine whether the point satisfies the given inequality or not.

We select the point as (0, 0) . It is observed that, 0 < - 3, which is true.

Also, it is evident that any point on the line does not satisfy the given inequality.

Hence, every point on the right side of the line, x = - 3 (excluding all the points on the line), determines the solution of the given inequality.

The solution region is represented by the shaded region as follows:

NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.2 Question 10

Solve the given inequality graphically in two-dimensional plane: x > - 3

Summary:

A linear inequation x > - 3 is given. We have found that every point on the right side of the line, x = - 3 (excluding all the points on the line), determines the solution of the given inequality