NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.1

Linear inequalities are the advanced version of what you have studied in the previous class linear equations. Earlier you have studied linear equations in one variable and two variables along with some problems where you have been asked to find or prove the solutions.

This gave raised the natural question of what is linear inequality? Well, class 11 Mathematics chapter 5 can describe this as the relationship between two different quantities that are not equal. These inequalities use different mathematical signs like – Less than > and greater than < and more such as greater than and equal to represent the conditions.

Quoting that “Mathematics is the art of saying many things in many different ways” at the beginning of the introductions chapter made it clear that a simple signature stated in inequalities will form the questions. This is visible in 11th Maths NCERT exercise 5.1 that starts with a low difficulty level questions. There you are asked to solve the expression of the single equation. This proceeds to advance case study-based expression where you are given the task to take the expression yourself and then solve it.

The use of signs in inequalities happens when one expression is been compared on the line depending on its value. To make it simple, we can say that when two algebraic expressions are being compared and the result is one expression. This is known as linear inequalities. Passage 5.1 of inequalities are all about recognizing what inequality would look like. The benefit of recognizing the inequality will get you the vision of the correct it or prove it.

Since it is a new topic, which includes symbols of greater than and equal, less than and equal, extends the reach of algebra to a more advanced level. There are various types of such expression in Maths. The inequality one is well explained with a case study of purchasing rice, pen and register. Just read the passage given above the exercise 5.1 of 11th Maths NCERT book.

The passage is easy to understand. After this you will read the actual definition of inequalities. There are different types of inequality expression namely – Double inequalities, Strict inequalities, and slack inequality. This also includes linear inequality in one variable, also linear inequality in two variables.