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**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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