Advertisements
Advertisements
प्रश्न
Solve graphically: 3x + 2y ≥ 0
उत्तर
Consider the line whose equation is 3x + 2y = 0. The constant term is zero, therefore this line is passing through the origin.
∴ One point on the line is O = (0, 0).
To find another point, we can give any value of x and get the corresponding value of y.
Put x = 2, we get 6 + 2y = 0 i.e. y = –3
∴ A = (2, –3), is another point on the line. Draw the line OA.
To find the solution set, we cannot check (0,0) as it is already on the line.
We can check any other point which is not on the line.
Let us check the point (1, 1).
When x = 1, y = 1, then 3x + 2y = 3 + 2 = 5 which is grreater than zer.
∴ 3x + 2y > 0 in this case.
Hence (1, 1) lies in the required region.
Therefore, the required region is the upper side which is shaded in the graph.
This is the solution set of x + 2y > 0.
संबंधित प्रश्न
Solve graphically : y ≥ 0
Solve graphically : x ≤ 0
Solve graphically : y ≤ 0
Solve graphically : x ≥ 0 and y ≥ 0
Solve graphically: x ≤ 0 and y ≥ 0
Solve graphically : x ≥ 0 and y ≤ 0.
Solve graphically : 2y – 5 ≥ 0
Solve graphically : 3x + 4 ≤ 0
Solve graphically : 5y + 3 ≤ 0
Solve graphically : x +2y ≤ 6
Solve graphically : 2x – 5y ≥10
Solve graphically : 5x – 3y ≤ 0
Solve graphically : x – y ≤ 2 and x + 2y ≤ 8
Solve graphically : x + y ≥ 6 and x + 2y ≤ 10
Solve graphically : 2x + 3y≤ 6 and x + 4y ≥ 4
Solve graphically : 2x + y ≥ 5 and x – y ≤ 1
The corner points of the feasible solutions are (0, 0) (3, 0) (2, 1) (0, 7/3) the maximum value of Z = 4x + 5y is
The half plane represented by 4x + 3y >14 contains the point
The value of objective function is maximum under linear constraints
A solution set of the inequality x ≥ 0
Check the ordered points (1, −1), (2, −1) is a solution of 2x + 3y − 6 ≤ 0
Show the solution set of inequations 4x – 5y ≤ 20 graphically
If the point (x1, y1) satisfies px - qy < 13, then the solution set represented by the inequation is ______
Solution of the LPP minimize z = 7x + 2y subject to x + y ≥ 60, x - 2y ≥ 0, x + 2y ≤ 120, x, y ≥ 0 is ______
The shaded region is represented by the in equations ______
Determine the system of linear equation for which the solution set is the shaded region in the following figure ______.
Solution set of the inequality y ≥ 0 is ______.
The set of real x satisfying the inequality `(5 - 2x)/3 ≤ x/6 - 5` is [a, ∞). The value of ‘a’ is ______.
The object function z = 4x1 + 5x2, subject to 2x1 + x2 ≥ 7, 2x1 + 3x2 ≤ 15, x2 ≤ 3, x1, x2 ≥ 0 has minimum value at the point is ______.
The objective function of LPP defined over the convex set attains it optimum value at ______.
