Advertisements
Advertisements
प्रश्न
Check the ordered points (1, −1), (2, −1) is a solution of 2x + 3y − 6 ≤ 0
उत्तर
Given inequality: 2x + 3y – 6 ≤ 0
i.e., 2x + 3y ≤ 6 .......(i)
Consider point (1, –1).
Putting x = 1 and y = –1 in equation (i), we get
2(1) + 3(–1) = 2 – 3
= – 1 ≤ 6
which is true.
Consider point (2, –1)
Putting x = 2 and y = –1 in equation (i), we get
2(2) + 3(–1) = 4 – 3
= 1 ≤ 6
which is true.
∴ Given ordered pairs are solutions of 2x + 3y – 6 ≤ 0.
APPEARS IN
संबंधित प्रश्न
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: 2x – 3 ≥ 0
Solve graphically : x +2y ≤ 6
Solve graphically : 2x – 5y ≥10
Solve graphically: 3x + 2y ≥ 0
Solve graphically : 5x – 3y ≤ 0
Solve graphically : 2x + y ≥ 2 and x – y ≤ 1
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 value of objective function is maximum under linear constraints
If a corner point of the feasible solutions are (0, 10) (2, 2) (4, 0) (3, 2) then the point of minimum Z = 3x + 2y is
A solution set of the inequality x ≥ 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 ______
For the constraint of a linear optimizing function z = 3x1 + 11x2, given by 2x1 + x2 ≤ 2, 4x1 + x2 ≥ 4 and x1, x2 ≥ 0
Let p and q be the statements:
p: 3x3 + 8y3 ≥ 15, q: 5x + 2y < 11
Then, which of the following is true?
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 ______
Region represented by the inequalities x ≥ 0, y ≤ 0 is ______.
If S1 and S2 are respectively the sets of local minimum and local maximum points of the function, f(x) = 9x4 + 12x3 - 36x2 + 25, x ∈ R, then ______
Determine the system of linear equation for which the solution set is the shaded region in the following figure ______.
Which of the following linear inequalities satisfy the shaded region of the given figure?
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 ______.