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.
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