Show that the solution set of the system of inequalities is an unbounded set.
y - 3x 3, 2y + 3x
- 6
Asked by Topperlearning User
| 30th Apr, 2014,
11:22: AM
Expert Answer:
We draw the graph of the linear equations y - 3x = 3 and 2y + 3x = -6 first.
Now region coloured in red will show the inequality 2y + 3x -6 and region in green will represent the inequality y - 3x
3.
The doubly shaded region will be the required region which is clearly unbounded.
Answered by
| 30th Apr, 2014,
01:22: PM
Concept Videos
- A= {(x, y): x, y∈ I, X≥0, y≥0 and 5x + 6y ≤40} B= {(x, y): x, y∈ l, x≥0, y≥0 and 6x + 5y ≤ 40} Where I denotes set of integers, then n(A∩B) is
- 3x+2y>5,y>2
- Solve the system of inequations graphically x
y, y + x
5, x, y
0
- Find the vertices of the figure enclosing the region represented by the following system of inequalities.
7x + 10y
70 3x + y
18 x
0, y
1.
- Solve the system of inequalities graphically x ≤ -2, y ≥ 2
- Show that the solution set is empty for the system of inequalities 2x + y ≥ 4 and 2x + y < -6
- Solve the system of inequalities graphically
- Find the quadrant in which the region is to be shaded for the system of equations
- Find the area enclosed by the system of inequalities
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Sign Up
Verify mobile number
Enter the OTP sent to your number
Change