### Mathematics Class XI

Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
Chapter 6: Sequence and Series
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
Chapter 2: Conic Sections
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability
Chapter 1: Statistics
Chapter 2: Probability

# Inequalities and Linear inequalities

Inequalities:

Two real numbers or two algebraic expressions related by the symbols form an inequality.

For examples: Linear Inequality:

An inequality is said to be linear if each variable occurs in the first degree only and there is no term involving the product of the variables.

For examples: etc.

Open Interval:

If & are real numbers, such that then the set of all real numbers such that is called an open interval and is denoted by .

Therefore Closed Interval:

If  are real numbers such that , then the set of all real numbers such that is called a closed interval and is denoted by .

Therefore Solution of an inequality:

The value of , which make an inequality a true statement, are called solutions of the inequality.

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