Advertisements
Advertisements
प्रश्न
Find the graphical solution of the following system of linear inequations:
3x + 2y ≤ 24, 3x + y ≥ 15, x ≥ 4
Advertisements
उत्तर
Writing the above inequalities as equations
3x + 2y ≤ 24
| x | 0 | 8 |
| y | 12 | 0 |
| (x, y) | (0, 12) | (8, 0) |
3x + y ≥ 15
| x | 0 | 5 |
| y | 15 | 0 |
| (x, y) | (0, 15) | (5, 0) |
x ≥ 4
| x | 4 | 4 |
| y | 0 | 1 |
| (x, y) | (4, 0) | (4, 1) |
The inequality 3x + 2y ≤ 24 represents the region below the line including the points on the line 3x + 2y = 24.
The inequality 3x + y ≥ 15 represents the region above the line, including the points on the line 3x + y = 15.
The inequality x ≥ 4 repyesents the region to the right of the line, including the points on the line x = 4.
∴ The shaded region between the lines represents the solution of the given inequality.
APPEARS IN
संबंधित प्रश्न
Solve the following inequation graphically in the two-dimensional plane.
x ≤ – 4
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.
`1/4 "x" + 1/2 "y" ≤ 1`
Mr. Rajesh. Has Rs. 1800 to spend on fruits for a meeting. Grapes cost Rs. 150 per kg. and peaches cost Rs. 200 per kg. Formulate and solve it graphically.
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.
x ≥ 3, y ≥ 2
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.
x + y ≤ 6, x + y ≥ 4
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.
x – 2y ≤ 3, 3x + 4y ≥ 12, x ≥ 0, y ≥ 1
Solve the following system of inequalities graphically.
3x + 2y ≤ 150, x + 4y ≥ 80, x ≤ 15, y ≥ 0, x ≥ 0
Solve the following system of inequalities graphically.
x + 2y ≤ 10, x + y ≥ 1, x – y ≤ 0, x ≥ 0, y ≥ 0
