6. Linear Inequalities Mathematics class 11 exercise Introduction 5

6. Linear Inequalities Mathematics class 11 exercise Introduction 5 ncert book solution in english-medium

NCERT Solutions ⇒ Class 11th

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6. Linear Inequalities

Introduction

Inequalities:

Definition: Two real numbers or algebraic expressions related by symbol '<', '>', '≤' or '≥', such relations which are made by these symbols is called inequalities.

symbols:

< { less than}

> { greater than}

≤ { less than or equal to}

≥ { greater than or equal to}

Type of Inequalities: ( On the basis of variable and Numerical)

(i) Numerical Inequalities: The Inequalities which has both side numeric value.

Examples:

6 < 9

3 > 1

3 < 5

1 > 0

(ii) Literal Inequalities: The Inequalities which have variables is called literal Inequalities.

Examples:

x < 5

x > 7

x ≤ 7

x ≥ 3

Important rules:

Rule (i) Equal munbers may be added to or subtracted from both sides of an inequality without affecting the sign of imequality.

Rule (ii) Both sides of an imequality can be multiplied or divided by the same posiitive number. But, When both sides are multiplied or divided by a negative number then the sign of inequality is reversed.

Introduction 1

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Introduction 2

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Introduction 3

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Introduction 5

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6. Linear Inequalities Mathematics class 11 exercise Introduction 5

NCERT Solutions ⇒ Class 11th

NCERT Books Subjects for class 11th Hindi Medium

Introduction

Introduction 1

Introduction 2

Introduction 3

Introduction 4

Introduction 5

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