Home
Class 11
MATHS
3x + 4y le 12...

`3x + 4y le 12`

Text Solution

Verified by Experts

Consider the equation `,3x + 4y = 12`
The vlaues of (x,y) satisfying 3x +4y = 12 are :

Plot the points A (4,0) and B(0,3) on a graph paper. Then line AB represents `3x + 4y =12`
This line divides the plane of the paper in two equal parts . Clearly the points (0,0) satisfies `3x+4y le 12 `
So, we shade that part the plane together with all the points on line AB represents `3x + 4y le 12 `
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUATIONS (IN TWO VARIABLES )

    RS AGGARWAL|Exercise EXERCISE 7|22 Videos

  • LINEAR INEQUATIONS (IN ONE VARIABLE)

    RS AGGARWAL|Exercise EXERCISE 6B|12 Videos

  • Logarithm

    RS AGGARWAL|Exercise Exercise 1|9 Videos

Similar Questions

Explore conceptually related problems

Z = -3x + 4y x + 2y le 8, 3x + 2y le 12, x ge 0 , y ge 0 .

Minimise Z = -3x + 4y subject to x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 .

Z = -3x + 4y x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0

Minimize Z = -3x + 4y subject ot constraints : x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 .

x + 2y le 3, 3x + 4y ge 12, x ge 0, y ge 1

x +2y le 3, 3x + 4y ge 12 , x ge 0, y ge 1

State True or False: The maximum value of Z = 5x + 3y subject to constraints 3x + y le 12, 2x + 3y le 18, 0 le x ,y is 20.

Solve the following system of inequtions graphically. x + 3y le 12, 3 3x + y le 12 , x ge 0 , y ge 0

3x +4y le 18, 2x +3y ge 3 and x, y ge 0 is

Verify that the solution set of the following constraints is empty : 3x + 4y ge 12, x + 2y le 3, x ge 0, y ge 1 .