# Linear Inequations Class-8 RS Aggarwal ICSE Maths Goyal Brothers

Linear Inequations Class-8 RS Aggarwal ICSE Maths Goyal Brothers Prakashan Solutions Chapter-16. We provide step by step Solutions of Exercise / lesson-16 **Linear Ineqations** for ICSE **Class-8 RS** Aggarwal Mathematics.

Our Solutions contain all type Questions of Exe-16 with Notes to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-8 Mathematics.

Board | ICSE |

Publications | Goyal brothers Prakshan |

Subject | Maths |

Class | 8th |

Chapter-16 | Linear Inequations |

Writer | RS Aggrawal |

Book Name | Foundation |

Topics | Solution of Exe-16 |

Academic Session | 2021-2022 |

## Linear Inequations Class-8 RS Aggarwal ICSE Maths Goyal Brothers Prakashan Solutions Chapter-16

**: Select Topic :-**

** Notes on Linear Inequations**

A linear inequation is a statement of inequality between two expressions involving a single variable with the highest power of 1.

#### Replacement Set

The set from which the variable can take the values in an inequation is known as the replacement set or domain of the variable.

#### Solution Set.

The set of values of the variable taken from the replacement set, which satisfies the inequation, is called its solution set.

#### Law of Inequality

- The sign of inequality remains the same, when the same number is added or subtracted on both the sides,
- and when the inequation is multiplied or divided by the same positive number on both the sides.
- But The sign of inequality reverses when the same negative number multiplies or divides both the sides

** What is a linear inequality?**

An inequality involving a linear function refers to a linear inequality. It resembles a linear equation, except that the inequality sign replaces the ‘=’, which we call linear inequations

**What is the difference between linear equation and linear inequality?**

The graph of linear inequalities consists of a dashed line if they are greater than or less than but not equal to. On the other hand, linear equations consist of a solid line in every condition. Furthermore, linear inequalities contain shaded regions while linear equations do not.

** How do you solve a linear inequality with absolute value?**

An absolute value equation will have no solution if the absolute value expression will equal a negative number because an absolute value may never be negative. We can write an absolute value inequality as a compound inequality. This is applicable for all absolute value inequalities. You just need to replace > above with ≥ and < with ≤

**Exe-16** Linear Inequations Class-8 RS Aggarwal ICSE Maths Goyal Brothers Prakashan Solutions

(Page- 197-198)

#### Question 1:

If x ∈ { -3, -2, -1, 0, 1, 2, 3}, find the solution set of each of the following inequations :

#### Question 2:

If x ∈ N, find the solution set of each of the following inequation :

#### Question 3:

If x ∈ Z, find the solution ………………………. number line .

#### Question 4:

Find the solution set of each of the following ………………. on the real number :

………………….

–: End of **Linear In equations Class-8 RS** Aggarwal Solutions :–

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