Read and download NCERT Class 11 Maths Linear Inequalities Questions in NCERT book for Class 11 Mathematics. You can download latest NCERT eBooks chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 11 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 11 Mathematics to understand the answers of the exercise questions given at the end of this chapter
NCERT Book for Class 11 Mathematics Chapter 6 Linear Inequalities
Class 11 Mathematics students should refer to the following NCERT Book Chapter 6 Linear Inequalities in Class 11. This NCERT Book for Class 11 Mathematics will be very useful for exams and help you to score good marks
Chapter 6 Linear Inequalities NCERT Book Class 11
6.1.1 A statement involving the symbols ‘>’, ‘<’, ‘ ≥’, ‘≤’ is called an inequality. For example 5 > 3, x ≤ 4, x + y ≥ 9.
(i) Inequalities which do not involve variables are called numerical inequalities. For example 3 < 8, 5 ≥ 2.
(ii) Inequalities which involve variables are called literal inequalities. For example, x > 3, y ≤ 5, x – y ≥ 0.
(iii) An inequality may contain more than one variable and it can be linear, quadratic or cubic etc. For eaxmple, 3x – 2 < 0 is a linear inequality in one variable, 2x + 3y ≥4 is a linear inequality in two variables and x2 + 3x + 2 < 0 is a quadratic inequality in one variable.
(iv) Inequalities involving the symbol ‘>’ or ‘<’ are called strict inequalities. For example, 3x – y > 5, x < 3.
(v) Inequalities involving the symbol ‘≥’ or ‘≤’ are called slack inequalities. For example, 3x – y ≥ 5, x ≤ 5.
6.1.2 Solution of an inequality
(i) The value(s) of the variable(s) which makes the inequality a true statement is called its solutions. The set of all solutions of an inequality is called the solution set of the inequality. For example, x – 1 ≥ 0, has infinite number of solutions as all real values greater than or equal to one make it a true statement. The inequality x2 + 1 < 0 has no solution in R as no real value of x makes it a true statement.
To solve an inequality we can
(i) Add (or subtract) the same quantity to (from) both sides without changing the sign of inequality.
(ii) Multiply (or divide) both sides by the same positive quantity without changing the sign of inequality. However, if both sides of inequality are multiplied (or divided) by the same negative quantity the sign of inequality is reversed, i.e., ‘>’ changes into ‘<’ and vice versa.
Please refer to attached file for NCERT Class 11 Maths Linear Inequalities Questions
| NCERT Class 11 Maths Sets |
| NCERT Class 11 Maths Sets Questions |
| NCERT Class 11 Maths Relations And Functions |
| NCERT Class 11 Maths Relations And Functions Questions |
| CBSE Class 11 Maths Trigonometric Functions |
| NCERT Class 11 Maths Trigonometric Functions |
| NCERT Class 11 Maths Trigonometric Functions Questions |
| NCERT Class 11 Maths Principle Of Mathematical Induction |
| NCERT Class 11 Maths Principle Of Mathematical Induction Questions |
| CBSE Class 11 Maths Complex Numbers |
| NCERT Class 11 Maths Complex Numbers And Quadratic Equations |
| NCERT Class 11 Maths Complex Numbers And Quadratic Equations Questions |
| NCERT Class 11 Maths Linear Inequalities |
| NCERT Class 11 Maths Linear Inequalities Questions |
| NCERT Class 11 Maths Permutations And Combinations |
| NCERT Class 11 Maths Permutations And Combinations Questions |
| NCERT Class 11 Maths Binomial Theorem |
| NCERT Class 11 Maths Binomial Theorem Questions |
| CBSE Class 11 Maths Sequence and Series |
| NCERT Class 11 Maths Sequences And Series |
| NCERT Class 11 Maths Sequences And Series Questions |
| CBSE Class 11 Maths Straight Line |
| NCERT Class 11 Maths Straight Lines |
| NCERT Class 11 Maths Straight Lines Questions |
| NCERT Class 11 Maths Conic Sections |
| NCERT Class 11 Maths Conic Sections Questions |
| NCERT Class 11 Maths Introduction To Three Dimensional Geometry |
| NCERT Class 11 Maths Introduction To Three Dimensional Geometry Questions |
| CBSE Class 11 Maths Limit and Derivatives |
| NCERT Class 11 Maths Limits And Derivatives |
| NCERT Class 11 Maths Limits And Derivatives Questions |
| NCERT Class 11 Maths Mathematical Reasoning |
| NCERT Class 11 Maths Mathematical Reasoning Questions |
| NCERT Class 11 Maths Statistics |
| NCERT Class 11 Maths Statistics Questions |
| NCERT Class 11 Maths Probability |
| NCERT Class 11 Maths Probability Questions |
| NCERT Class 11 Maths Answers and Solutions |
| NCERT Class 11 Maths Answers and Solutions2 |
| NCERT Class 11 Maths Infinite Series |
| NCERT Class 11 Maths Mathematical Modelling |
Mathematics NCERT Book Class 11 Chapter 6 Linear Inequalities
The above NCERT Books for Class 11 Mathematics Chapter 6 Linear Inequalities have been published by NCERT for latest academic session. The textbook by NCERT for Chapter 6 Linear Inequalities Mathematics Class 11 is being used by various schools and almost all education boards in India. Teachers have always recommended students to refer to Chapter 6 Linear Inequalities NCERT etextbooks as the exams for Class 11 Mathematics are always asked as per the syllabus defined in these ebooks. These Class 11 Chapter 6 Linear Inequalities book for Mathematics also includes collection of question. We have also provided NCERT solutions for Class 11 Mathematics which have been developed by teachers of StudiesToday.com after thorough review of the latest book and based on pattern of questions in upcoming exams for Class 11 students.
NCERT Book Class 11 Mathematics Chapter 6 Linear Inequalities
The latest NCERT book for Chapter 6 Linear Inequalities pdf have been published by NCERT based on the latest research done for each topic which has to be taught to students in all classes. The books for Class 11 Mathematics Chapter 6 Linear Inequalities are designed to enhance the overall understanding of students. All Class 11 NCERT textbooks have been written in an easy to understand language which will help to enhance the overall level of Class 11 students.
Chapter 6 Linear Inequalities NCERT Book Class 11 Mathematics
As the students of Class 11 need the books for their regular studies, we have provided all NCERT book for Chapter 6 Linear Inequalities in pdf here for free download. All pdf NCERT books available here for Class 11 will help them to read on their mobile or computers. They can take a print of the Class 11 Mathematics NCERT Book Chapter 6 Linear Inequalities pdf easily and use them for studies. The NCERT textbooks for Class 11 Mathematics have been provided chapter-wise and can be downloaded for free of cost.
Class 11 Mathematics Chapter 6 Linear Inequalities NCERT Book
Along with Mathematics Class 11 NCERT Book in Pdf for Chapter 6 Linear Inequalities we have provided all NCERT Books in English Medium for Class 11 which will be really helpful for students who have opted for english language as a medium. Class 11 students will need their books in English so we have provided them here for all subjects in Class 11.
Class 11 Chapter 6 Linear Inequalities NCERT Book Mathematics
For Class 11 Chapter 6 Linear Inequalities we have provided books for students who have opted for Hindi and Urdu medium too. You can click on the links provided above to download all Hindi medium Class 11 Mathematics Chapter 6 Linear Inequalities book in easy to read pdf format. These books will help Class 11 Mathematics students to understand all topics and also strictly follow latest syllabus for their studies. If you are looking to download the pdf version of Class 11 Mathematics Chapter 6 Linear Inequalities textbook issued by NCERT then you have come to the correct website
You can download the NCERT Book for Class 11 Mathematics Chapter 6 Linear Inequalities for latest session from StudiesToday.com
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