Advertisements
Advertisements
प्रश्न
Solve the following inequation graphically in the two-dimensional plane.
y – 5x ≥ 0
उत्तर
The equation y – 5x ≥ 0 of the form y = 5x, which shows that the line passes through the origin in the first and third quadrant more inclined towards the Y-axis.
Since the line passes through the origin, it can not be taken as a landmark for the solution set.
Consider another point, say (3,1) on the graph.
The inequation is
y – 5x ≤ 0
Put x = 3, y = 1 in the equation
y – 5x ≥ 0
1 – 5(3) = – 14 ≥ 0
Which shows that the solution set is not containing the point (3, 1).
The solution set does not contain the point (3, 1).
APPEARS IN
संबंधित प्रश्न
Solve the inequation:
`("x" - 2)/("x" + 5) > 0`
Solve the following inequation graphically in the two-dimensional plane.
x ≤ – 4
Solve the following inequations graphically in two-dimensional plane.
y ≤ – 2x
Solve the following inequation graphically in the two-dimensional plane.
x – y ≥ 0
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.
Solve the following system of inequalities graphically.
x ≥ 3, y ≥ 2
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.
5x + 4y ≤ 20, x ≥ 1, y ≥ 2
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.
x + 2y ≤ 10, x + y ≥ 1, x – y ≤ 0, x ≥ 0, y ≥ 0
