NCERT Books Free Download for Class 11 Maths Chapter 6 - Linear Inequalities

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NCERT Books Free Download for Class 11 Maths Chapter 6 - Linear Inequalities

Last updated date: 26th Apr 2024

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NCERT Books for Class 11 Maths Chapter 6 - Linear Inequalities - Free PDF Download

Free NCERT Books download for Class 11 Maths Chapter 6 - Linear Inequalities on Vedantu.com. Students can also download the NCERT Textbooks Solutions in PDF for Class 6 to 12 all subjects. Register for Mathematics tuition to clear your doubts and score more in your exams.

Question: How to download Class 11 Maths Chapter 6 NCERT Book for CBSE?

Answer: Students can download it from Vedantu on this page, Students can download Class 11 Maths Chapter-6 PDF Solutions of the Book.

If you are looking for a resource that can help you solve the most dreadful and difficult questions which Maths has to offer, NCERT books available for free download in Vedantu may be your answer to the wish. Maths is made up of a number of concepts and chapters and some of them are more difficult than the others while a few are relatively easy.

The Linear Inequalities make up for one of the chapters included in the syllabus for Class 11 Maths. Though considered to be moderate in their difficulty level, linear inequalities leave an underlying fearful expression over the students as they involve a number of inequality signs instead of a simple equating "equal to" sign. The greater than, less than, greater than equal to, and less than equal signs come along with their own set of properties, therefore, it is very essential for the students to clear their basic concepts before diving into the questionnaire bank given with the chapter.

The NCERT books that can be referred to, to understand the basic and in-depth concepts relating to linear inequalities, are designed in such a way that the students are provided with all the necessary information that they can possibly look for or ask for while going through the chapter. The NCERT books provide efficient and accurate matter that helps the students to prepare for their examination and pass through with flying colors. The information given is presented in plain and simple language for easy access to the students. This also allows the students to learn more in less time.

Class 11 Maths Chapter 6 NCERT Books - Linear Inequalities

Introduction to the Chapter

Linear inequalities is an important topic for the Class 11 Maths syllabus. They deal with questions pertaining to either one or two variables along with the properties of inequalities. Once the concepts and properties are well understood by the students, it becomes very easy for them to solve any kind of problems that might be presented to them.

NCERT books provide a brief introduction to the chapter linear inequalities as a whole. It is followed by an introduction and definition to the concept of inequalities. Algebra is also a part of linear inequalities. Firstly, an explanation to Algebraic Solutions pertaining to Linear Inequalities with reference to one variable alone is provided along with its graphical representation. Various rules are stated and explained. The concept as a whole is justified with the help of solved examples.

A practice exercise is also provided for the students to test their progress. Thereafter, graphical representation of linear inequalities relating to two variables is explained along with rules, properties, and solved examples. A separate practice exercise has been assigned for the same. In the end, a miscellaneous exercise is given for a general test of the student's ability to handle all types of questions mixed together, as may be the case in the examination. A summary shall be a part of the chapter, for the quick recap and revision of the students. The students can use the summary sheet to revise the chapter on the go or to get a quick look at a forgetting concept.

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FAQs on NCERT Books Free Download for Class 11 Maths Chapter 6 - Linear Inequalities

1. Are there any rules to solve linear inequalities in Class 11?

The linear inequalities can be solved by understanding a few rules and concepts given in reference to the same. The basic rules include :

possibility of performing addition and subtraction by the same number on both sides, both the sides of the inequality can be multiplied or divided by the same positive number with no significant impact on the signs of the inequality. The important rule to remember when it comes to inequality is that the sign of inequalities are reversed if they are either multiplied or divided by the same negative number on both sides.

2. According to Chapter 6 of Class 11 NCERT Maths, what is meant by the graphical representation of a linear inequality?

The students are often asked to represent a linear inequality on the graph. The graph of inequality is a line presented on the graph paper, plotted in terms of variables. In order to graphically represent a linear inequality, out of the two variables, take out one variable on one side and thereafter change the inequality sign to an equality sign to get a line on the graph. Picking points on the graph will further help you determine the solution for the inequality.