Advertisements
Advertisements
Question
Solve graphically : 5y + 3 ≤ 0
Solution
Consider the line whose equation is 5y + 3 ≤ 0, i.e. y = `(-3)/(5)`
This represents a line parallel to X-axis passing through the point `(0, (-3)/5)`.
Draw the line y = `(-3)/(5)`.
To find the solution set, we have to check the position of the origin (0, 0).
When y = 0, 5y + 3 = 5 x 0 + 3 = 3 `cancel<=` 0
∴ the coordinates of the origin does not satisfy the given inequality.
∴ the solution set consists of the line y = `(-3)/(5)` and the non-origin side of the line which is shaded in the graph.
APPEARS IN
RELATED QUESTIONS
Solve graphically : y ≥ 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 : x ≥ 0 and y ≤ 0.
Solve graphically: 2x – 3 ≥ 0
Solve graphically : 2y – 5 ≥ 0
Solve graphically : 3x + 4 ≤ 0
Solve graphically : x +2y ≤ 6
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 : 2x + y ≥ 5 and x – y ≤ 1
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
Check the ordered points (1, −1), (2, −1) is a solution of 2x + 3y − 6 ≤ 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 maximum value of z = 7x + 6y.
Subject to the constraints x ≤ 45, y ≤ 55 and 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 ______.
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 ______.
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 ______.
The objective function of LPP defined over the convex set attains it optimum value at ______.
