2) | x | < a is equal to - a < x < a

3) | x | < a is equal to x < - a or x > a

using (3) we have 2x + 3 < - 3 or 2x + 3 > 3
                              4                        4

solving, 2x + 3 < - 12 or 2x + 3 > 12

2x + 3 - 3 < -12 - 3 or 2x + 3 - 3 > 12 - 3

Þ 2x < - 15 or 2x > 9

Þ x < - 15/2 or x > 9/2

The solution set is { x | x < - 7.5 or x > 4.5 }

OR (- ¥ , -7. 5) È (4.5, ¥ )

Graphically

Index

Introduction

1.1 Functions And Mapping
1.2 Functions, Their Graphs and Classification
1.3 Rules for Drawing the Graph of a Curve
1.4 Classification of Functions
1.5 Standard Forms for the equation of a straight line
1.6 Circular Function and Trigonometry

Chapter 2