Advertisements
Advertisements
Question
Solve the following inequation graphically in the two-dimensional plane.
y – 5x ≥ 0
Solution
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
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.
4x + 5y ≤ 40
Solve the following inequation graphically in the two-dimensional plane.
`1/4 "x" + 1/2 "y" ≤ 1`
Diet of a sick person must contain at least 4000 units of vitamin. Each unit of food F1 contains 200 units of vitamin, where as each unit of food F2 contains 100 units of vitamins. Write an inequation to fulfil sick person’s requirements and represent the solution set graphically.
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 + 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.
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.
x + 2y ≤ 10, x + y ≥ 1, x – y ≤ 0, x ≥ 0, y ≥ 0
Find the graphical solution of the following system of linear inequations:
0 ≤ x ≤ 350, 0 ≤ y ≤ 150
