Advertisements
Advertisements
प्रश्न
Solve the following inequations graphically in two-dimensional plane.
y ≤ – 2x
उत्तर
Consider the equation y = 2x.
This is the equation of a line passing through origin in third and fourth quadrant inclined.
more towards Y-axis.
Consider a point (2, 1).
Substitute in equation
y ≤ – 2x
⇒ 1 ≤ 2(2)
⇒ 1 ≤ – 4
shows that point (2, 1) does not satisfy the inequation.
The solution is in the other plane away from that point.
APPEARS IN
संबंधित प्रश्न
Solve the following inequation graphically in the two-dimensional plane.
y ≥ 3
Solve the following inequation graphically in the two-dimensional plane.
y – 5x ≥ 0
Solve the following inequation graphically in the two-dimensional plane.
x – y ≥ 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.
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 ≤ 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.
x – 2y ≤ 3, 3x + 4y ≥ 12, x ≥ 0, y ≥ 1
Solve the following system of inequalities graphically.
4x + 3y ≤ 60, y ≥ 2x, x ≥ 3, x, y ≥ 0
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
