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# RD Sharma Class 11 Solutions Chapter 15 - Linear Inequations (Ex 15.6) Exercise 15.6

Last updated date: 29th May 2024
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## RD Sharma Class 11 Solutions Chapter 15 - Linear Inequations (Ex 15.6) Exercise 15.6 - Free PDF

Free PDF download of RD Sharma Class 11 Solutions Chapter 15 - Linear Inequations Exercise 15.6 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 15 - Linear Inequations Ex 15.6 Questions with Solutions for RD Sharma Class 11 Maths to help you revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

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## Linear Inequations Class 11th Chapter 15 RD Sharma

A linear equation always has 1 as the highest power of the variables. No variable in linear equations can have exponents value more than 1. That’s why the graph of the linear equation is a straight line.

In this chapter, you get to learn about the linear equations in one and two variables and linear inequations in one variable and their applications.

### Topics Covered in Linear Inequations RD Sharma

• Solutions of an inequation.

• Solving linear inequations in one variable.

• The solutions of a system of linear inequations in one variable.

• Applications of linear inequations in one variable.

• Graphical solution of linear inequations in two variables.

• Solutions of simultaneous linear inequations in two variables.

Class 11 maths experts available at Vedantu have provided the solutions to the unsolved RD Sharma Linear Inequations exercise 15.6. It is the most helpful and after-look book to ace the CBSE examination. Also, it helps you clear the exams like JEE (Joint entrance exam) and assists you in engineering courses. Experts have crafted these solutions according to the CBSE guidelines to help you understand the basics of linear inequations.

## FAQs on RD Sharma Class 11 Solutions Chapter 15 - Linear Inequations (Ex 15.6) Exercise 15.6

1. What is the importance of Linear Inequations?

Linear Inequations are expressions that you compare with inequality. Determine the maximum or minimum values of a situation with multiple constraints using linear inequalities. For example, you use it to determine how many products we should produce to maximise profit. RS Sharma of Class 11 has explained it with numerous examples. You can download the RD Sharma solutions to assist your preparation; it is available in PDF format. All you need to do is sign in to get it on your device.

2. What are the rules of Linear Inequalities?

We perform four different types of operations on linear inequations- addition, subtraction, multiplication and division. Below mentioned rules are for inequations greater than or equal to, and lesser than or equal.

As per this rule, addition of the same number on both sides of the inequality produces the same inequality.

• Subtraction Rule

As per this rule, subtraction of the same number on both sides of the inequality produces the same inequality.

• Multiplication Rule

As per this rule, a positive number multiplied on both sides produces the equivalent inequality. On the other hand, the multiplication of a negative number on both sides doesn’t give equal inequality unless we reverse the direction of the inequality symbol.

• Division Rule

As per this rule, when a positive number divides both sides produces the equivalent inequality. On the other hand, division with a negative number on both sides doesn’t give equal inequality unless we reverse the direction of the inequality symbol.

3. Where can I find other resources for Class 11 maths chapter 15?

You can download all the available resources of Class 11 from the Vedantu. Vedantu offers main topic notes and solutions to the NCERT exercise and exemplar problems. Also, you can find the answers to different exercises of the RD Sharma that is one of the most looked forward reference books for Class 11th. To download all these on your device, you need an email id. Class 11 concepts help you solve the different questions that appear in the entrance examination, and to turn it into the best, join the Vedantu pro classes to learn from the best faculties.

4. How many questions are there in Ex-29.7 of The Plane in RD Sharma?

The Linear Inequations chapter of RD Sharma has covered several exercises; a few are easy to solve, whereas many are higher-order thinking skills (HOTS) questions. These questions test your knowledge of different expressions with inequality and try to complex things with a graphical representation of equations; our Class 11 maths experts at Vedantu have cracked easy solutions for you that explain everything in detail. Download the solutions from the above link and start practising all the questions.

5. Why should I choose RD Sharma over NCERT for preparing Chapter 15 Class 11 maths?

RD Sharma is the most favourite reference book among students of Class 11th and 12th. The NCERT maths textbook does not offer you plenty of questions to practice though it provides a thorough explanation about the topics. To overcome this void, teachers suggest following a reference book of RD Sharma, which is the best source of problems that aid you to get excellent grades. Download the solutions at zero cost. Also, you can get the thoroughly explained answers to sample papers and previous year papers for free. Sign in with your valid email id and download all these resources on your device.