Advertisements
Advertisements
प्रश्न
Solve the following inequations graphically in two-dimensional plane.
y ≤ – 2x
Advertisements
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 inequation:
`("x" - 2)/("x" + 5) > 0`
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 two-dimensional plane.
2x – y ≤ − 2
Solve the following inequation graphically in the two-dimensional plane.
4x + 5y ≤ 40
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.
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.
5x + 4y ≤ 20, x ≥ 1, y ≥ 2
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
