# Solve the given inequality graphically in two-dimensional plane: 3x + 4 y ≤ 12

The graphical representation of 3x + 4 y = 12 is given in the figure below.

This line divides the XY plane into two half-planes, I and II**.**

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,

3(0) + 4 (0) ≤ 12 or 0 ≤ 12, which is true

Thus, the solution region of the given inequality is the shaded half plane I, including the points on the line

This can be represented as follows:

NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.2 Question 3

## Solve the given inequality graphically in two-dimensional plane: 3x + 4 y ≤ 12

**Summary:**

A linear inequation 3x + 4 y ≤ 12 is given. We have found that the solution region of the given inequality is the shaded half plane I, including the points on the line

visual curriculum