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# NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.1 Linear Inequalities - PDF Download

NCERT solutions for class 11 maths chapter 5 exercise 5.1 Linear Inequalities provides an overview of the fundamentals associated with the mathematical representation of inequalities in an algebra. There are different ways to show different types of inequality. In this exercise, students will learn how to solve linear inequalities and how to represent them on a number line. It is essential to have a thorough understanding of the fundamental principles of linear inequalities in order to successfully solve the questions asked in ex 5.1 class 11 maths chapter 5.

Class 11 maths chapter 5 exercise 5.1 NCERT solutions consist of 24 questions, which are sufficient to provide a fundamental comprehension of linear inequality and its representation. Ex 5.1 class 11 maths chapter 5 is available in downloadable PDF format on eSaral website to prepare for exams. eSaral’s subject experts have provided these solutions with proper explanation to achieve excellent scores in tests and exams. Download the free PDF of NCERT solutions class 11 maths chapter 5 ex 5.1 from the link mentioned below. You can not only download the PDF for free but also can practice all the questions with this PDF offline anytime anywhere.

## Topics Covered in Exercise 5.1 Class 11 Mathematics Questions

NCERT solution for class 11 maths chapter 5 ex 5.1 Linear Inequalities is based on inequalities, algebraic solutions of linear inequalities in a single variable and their graphical representation.

 1 Inequalities 2 Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation
1. Inequalities - Two real numbers or two algebraic expressions related by the symbols <, >, ≤ or ≥ form an inequality. For example ax + b < 0, ax + by < c.

Equal numbers may be added to (or subtracted from) both sides of an equation.

Both sides of an equation may be multiplied (or divided) by the same non-zero number.

If both sides of the inequality are divisible by a negative number, the inequality equation is reversed. The solution to the inequality is the value of x, which is why inequality is a true statement.

1. Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation

Using the trial and error approach, we can solve the linear inequality. However, in some cases, this approach is not possible and it takes longer to calculate the solution. So, using the numerical approach, we can solve the linear inequality. To solve the linear inequalities, follow the mentioned rules below:

Rule 1- Equal numbers may be added to (or subtracted from) both sides of an equation.

Rule 2 Both sides of an equation may be multiplied (or divided) by the same non-zero number.

You can now solve all questions and examples associated with this topic by learning the methods explained here.

## Tips for Solving Exercise 5.1 Class 11 Chapter 5 Linear Inequalities

Ex 5.1 class 11 maths chapter 5 focuses primarily on refining the fundamental understanding of Linear Inequality. To solve questions of ex 5.1, our expert teachers of maths have provided some helpful tips and tricks to solve questions of ex 5.1 chapter 5 linear inequalities.

1. You will be able to understand all the basic concepts of linear inequalities and the questions related to them with the help of the regular revision of all questions and examples in the NCERT solutions class 11 maths chapter 5 ex 5.1.

2. You can also read the relevant definitions and terms in these solutions along with the questions. The most effective way to solve these exercise questions is to focus on theory and definitions.

3. The NCERT class 11 maths chapter 5 ex 5.1 solutions and explanations help students to remember crucial formulas and concepts easily.

## Importance of Solving Ex 5.1 Class 11 Maths Chapter 5 Linear Inequalities

There are countless benefits of solving ex 5.1 class 11 maths chapter 5 linear inequalities. Some of the essential benefits are included in NCERT solutions for chapter 5 ex 5.1 for students to solve even the complex questions with ease.

1. The NCERT solutions class 11 chapter 5 Linear Inequalities ex 5.1 give an insight into the basic concepts of linear inequalities and solutions of linear inequalities in one variable and their graphical representation which gives precise understanding to practice questions of ex 5.1.

2. Class 11 maths chapter 5 exercise 5.1 solutions provide an idea of how to form graphs in one variable and find solutions of them.

3. You will feel confident by solving questions from NCERT solutions class 11 maths chapter 5 ex 5.1 provided by subject experts of eSaral.

4. Questions included in NCERT solutions chapter 5 also covers answers of them so that you can proof check your answers by these solutions.

5. Revising questions of ex 5.1 from the NCERT solutions will also increase your speed of calculation in examination.

Question 1. Write examples of numerical inequalities?

Answer 1. 3 < 5 and 7 > 5 are examples of numerical inequalities.

Question 2. What is linear inequality?

Answer 2. Two real numbers or two algebraic expressions related by the symbols <, >, ≤ or ≥ form an inequality.

Question 3. Do I need to practice examples from ex 5.1 in chapter 5 of class 11 maths?

Answer 3. In order to successfully prepare for the class 11 maths exams, it is essential to practice by using examples. Ex 5.1 questions are based on examples provided before the exercise, and having an understanding of how the examples have been solved will enable you to successfully solve the questions with the same methods. Examples are often presented as questions in exams, and by practicing them, you can gain an advantage in terms of achieving higher marks. Therefore, it is important to practice all the examples provided in chapter 5.