# NCERT Class 11-Math՚S: Chapter – 6 Linear Inequalities Part 7 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 15**:

Find the linear inequalities for which the shaded region in the given figure is the solution set.

**Answer**:

**Question 16**:

Show that the following system of linear inequalities has no solution

**Answer**:

let՚s plot the region of each inequality and then find the common region of all

x | 3 | 1 |

y | 0 | 1 |

Also, satisfies the , hence region is towards the origin

Line:

x | 0 | 4 |

y | 3 | 0 |

Also, satisfies the , hence region is towards the origin

implies that region is right to the y-axis and implies that region is up above the line ,

**Question 17**:

Solve the following system of linear inequalities:

**Answer**:

let՚s plot the region of each inequality and then find the common region of all

x | 0 | 8 |

y | 12 | 0 |

Also, doesn՚t satisfy the , hence region is away from the origin

Line:

x | 0 | 5 |

y | 15 | 0 |

Also, satisfies the , hence region is towards the origin

implies that region is right to the line ,

**Question 18**:

Show that the solution set of the following system of linear inequalities is an unbounded region

**Answer**:

let՚s plot the region of each inequality and then find the common region of all

Line:

x | 0 | 8 |

y | 4 | 0 |

Also, doesn՚t satisfy the , hence region is away from the origin

Line:

x | 0 | 10 |

y | 5 | 0 |

Also, doesn՚t satisfy the , hence region is away from the origin