Advertisements
Advertisements
Question
Solve the following system of inequalities graphically.
x + y ≤ 6, x + y ≥ 4
Advertisements
Solution
To find graphical solution, construct the table as follows:
| Inequation | Equation | Double Intercept form |
Points (x, y) |
Region |
| x + y ≤ 6 | x + y = 6 | `"x"/6 + "y"/6` = 1 | A (6, 0), B (0, 6) |
0 + 0 ≤ 6 ∴ 0 ≤ 6 ∴ origin side |
| x + y ≥ 4 | x + y = 4 | `"x"/4 + "y"/4` = 1 | C (4, 0), D (0, 4) |
0 + 0 `≱ ` 4 ∴ 0 `≱ ` 4 ∴ non-origin side |
Shaded portion represents the graphical solution.
APPEARS IN
RELATED QUESTIONS
Solve the following inequation graphically in the two-dimensional plane.
y ≥ 3
Solve the following inequations graphically in two-dimensional plane.
y ≤ – 2x
Solve the following inequation graphically in the two-dimensional plane.
y – 5x ≥ 0
Solve the following inequation graphically in two-dimensional plane.
2x – y ≤ − 2
Solve the following inequation graphically in the two-dimensional plane.
4x + 5y ≤ 40
Solve the following inequation graphically in the two-dimensional plane.
`1/4 "x" + 1/2 "y" ≤ 1`
Find the graphical solution of the following system of linear inequations:
3x + 2y ≤ 24, 3x + y ≥ 15, x ≥ 4
Find the graphical solution of the following system of linear inequations:
2x + y ≥ 8, x + 2y ≥ 10, x ≥ 0, y ≥ 0
Solve the following system of inequalities graphically.
2x + y ≥ 6, 3x + 4y ≤ 12
Solve the following system of inequalities graphically.
x + y ≥ 4, 2x – y ≤ 0
Solve the following system of inequalities graphically.
2x + y ≥ 8, x + 2y ≥ 10
Solve the following system of inequalities graphically.
x + y ≤ 9, y > x, x ≥ 0
Solve the following system of inequalities graphically.
3x + 4y ≤ 60, x + 3y ≤ 30, x ≥ 0, y ≥ 0
Solve the following system of inequalities graphically.
2x + y ≥ 4, x + y ≤ 3, 2x – 3y ≤ 6
Solve the following system of inequalities graphically.
3x + 2y ≤ 150, x + 4y ≥ 80, x ≤ 15, y ≥ 0, x ≥ 0
Find the graphical solution of the following system of linear inequations:
0 ≤ x ≤ 350, 0 ≤ y ≤ 150
