Linear Inequalities FAQs

What is Linear Inequality Class 11?

Linear inequality expresses the comparison between two or more quantities in a mathematical form or as an expression.

What is meaning of Symbols > and ≤ in Linear Inequality?

Symbols > and ≤ refer to greater than and less than equal to in linear inequalities.

What is the Formula for Linear Inequalities?

The general form to represent the linear inequalities in two variables is,

• ax + by > c
• ax + by < c, etc.

What is the Purpose of Linear Inequalities?

System of Linear Inequalities are used to determine the maximum and minimum value of the various situations given as algebraic expressions and explained with some constrains.

What are Inequality Symbols?

The five common symbols used to represent the inequalities are,

• Greater Than Symbol(>)
• Less Than Symbol(<)
• Greater Than Equal to Symbol(≥)
• Less Than Equal to Symbol(≤)
• Does not Equal to Symbol(≠)

What are Examples of Linear Inequality?

Examples of linear inequality are,

• x + 1 > 5
• x – 1 < 3
• x + y ≤ 12
• x – y ≥ 5, etc.

What Are the Real-Life Uses of Linear Inequalities?

Real-Life Uses of Linear Inequalities are,

• They are used to model real life business problems.
• They are used to solve various mathematical puzzles, etc.

How can we Solve Linear Inequalities in Two Variables?

Linear inequalities in two variables can be solved with the help of graphs and determining the common region that satisfies the given inequalities.

How are Quadratic Inequalities Different From Linear Inequalities?

Inequalities with algebraic expressions of degree 2 are called quadratic inequalities whereas inequalities with algebraic expressions of degree 1 are called linear inequalities.

How to Draw Linear Inequalities Graph?

We can draw a Linear Inequalities graph by first solving the given inequalities and finding the points. These points are plotted and then graph is drawn. Detailed steps has been mentioned in the article.

Linear Inequalities in Algebra are defined as the mathematical statements that are formed by combining linear algebraic expressions with inequalities. A linear algebraic expression in an expression with degree one. Linear inequalities can be easily represented using various methods that are discussed in the article below. We have to study Linear Inequalities in Class 11.

In this article, we will learn about, Linear Inequalities, Solving Linear Inequalities, Examples of Linear Inequalities, and others in detail.