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