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# NCERT Solutions for Class 11 Maths Chapter 6 – Linear Inequalities

Use NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities and lay a strong foundation about the concepts discussed in this chapter.  Prepared by our expert maths teachers, these solutions offer you a detailed explanation for each concept. We have created step-wise solutions in easy to understand language for you. All the formulae and theorems related to the chapter are also explained simultaneously in the NCERT solutions.

There are 3 exercises in the chapter with 51 questions. You will learn about inequalities, algebraic equations in one variable and graphical solutions to linear equations of two variables. Solving graph-based questions of the chapter is quite tricky and you must understand all the steps to find the right answer. Our solutions with appropriate use of formulae prove an easy guide to the complex problems of the chapter.

## Important Points for NCERT Solutions for Class 11 Maths Chapter 6 –Linear Inequalities

NCERT Solutions for Class 11 is categorized into 5 sections. Each section describes the sub-topics in a detailed manner with suitable examples and solved problems. The exercises provided at the end of the chapter help you to practice the problems and therefore paving the way to master the subject.

The first section of this chapter helps you in enhancing your knowledge about Algebra that you acquired in the previous classes. This section introduces you to the concept of symbols like ≤, ≥, <, their significance and how to use them. By reading this you will also understand how to solve the problems by converting those symbols into inequalities.

The next section is devoted to explaining inequalities between any two or more given things. The best part of this section is that it provides you with real-life examples to help you correlate and assimilate the concepts easily. The provided solved-examples help you further in this case.

The third section of this chapter helps you understand the linear inequalities in one variable and the methods to solve them with the graphical representations of their solutions. This section also provides you with clear and lucid examples for the solutions.

The next section teaches you about the linear inequalities in two variables on the Cartesian Plane. This being a slightly advanced and a little complex concept, suitable examples are given for your ease of understanding.

The last section of this chapter summarizes the learning of the earlier sections and dwells deep into the solution of the system of linear inequalities in the two variables with the help of graphical methods. The teaching is substantiated with good examples as well.

### Exercise-wise Discussion of NCERT Solutions for Class 11 Maths Chapter 6

1. The chapter is followed with 3 exercises. The questions totalling 51 in all ensure that you get the best of practice and understanding of the concepts discussed in the chapter.
2. The first exercise has 26 questions and is devoted to solving linear equations like 24x < 100, when x is a natural number and when x is an integer.
3. The second and third exercises deal with solving inequalities graphically with a two-dimensional plane.
4. The third exercise is a miscellaneous exercise on all the topics of the chapter.

### Benefits of NCERT Solutions for Class 11 Maths Chapter 6 by Instasolv

We, at Instasolv, ensure to fill the learning gaps by helping you to understand the intricate and complex topics of class 11 maths syllabus. Our NCERT Solutions for Class 11 Maths Chapter 6 are created by the best subject matter experts to provide you with the right answers in no time. We are sure that by referring to our NCERT solutions, you will be able to prepare better for your CBSE maths exam as all our solutions are as per the CBSE exam pattern and latest syllabus.

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