Exercise 6.2
Solve the following inequalities graphically in two dimensional planes:
1. 
Ans. Given:
Table of values satisfying the equation 
|
|
1 |
2 |
|
|
4 |
3 |
Putting (0, 0) in the given in equation,
0 < 5
which is true.
Therefore, Half plane of towards origin.
2. 
Ans. Given:
Table of values satisfying the equation 
|
|
1 |
2 |
|
|
4 |
2 |
Putting (0, 0) in the given in equation,
which is false.
Therefore, Half plane of away from the origin.
3. 
Ans. Given:
Table of values satisfying the equation 
|
|
0 |
4 |
|
|
3 |
0 |
Putting (0, 0) in the given in equation,
which is true.
Therefore, Half plane of towards the origin.
4. 
Ans. Given:
Table of values satisfying the equation 
|
|
5 |
6 |
|
|
2 |
4 |
Putting (0, 0) in the given in equation,
which is true.
Therefore, Half plane of towards the origin.
5. 
Ans. Given:
Table of values satisfying the equation 
|
|
2 |
3 |
|
|
1 |
2 |
Putting (0, 0) in the given in equation,
which is true.
Therefore, Half plane of towards the origin.
6. 
Ans. Given:
Table of values satisfying the equation
|
|
6 |
9 |
|
|
2 |
4 |
Putting (0, 0) in the given in equation,
which is false.
Therefore, Half plane of away from the origin.
7. 
Ans. Given:
Table of values satisfying the equation 
|
|
2 |
0 |
|
|
0 |
|
Putting (0, 0) in the given in equation,
which is true.
Therefore, Half plane of towards the origin.
8. 
Ans. Given:
Table of values satisfying the equation 
|
|
|
0 |
|
|
0 |
10 |
Putting (0, 0) in the given in equation,
which is true.
Therefore, Half plane of towards the origin.
9. 
Ans. Given:
Table of values satisfying the equation 
Putting (0, 0) in the given in equation,
which is false.
Therefore, Half plane of away from the origin.
10. 
Ans. Given:
Putting (0, 0) in the given in equation, 
which is true, therefore, Half plane of towards the origin.