KOLEKSI SIRI PERTAMA QUANTUM COOL-ACTIVE: MATHEMATICS SIMPLIFIED : FROM BASICS TO BRILLIANCE

LINEAR INEQUALITIESLINEAR INEQUALITIES

KeypointsKeypoints NotesNotes

SummarySummary

INTRODUCTION TO LINEAR INEQUALITIES

Linear inequalities are the expressions where

any two values are compared by the

inequality symbols such as <,>, or

LINEAR INEQUALITIES IN ONE VARIABLE

It is written in the forms

ax + b < c , ax + b > c

ax + b c , ax + b c

where a,b and c are all real numbers

≥ ≤

≤^ ≥

1 .Numerical inequalities : 3 < 8

2. Literal inequalities : x > 3

two type of inequalities

SIMPLE SOLUTION OF INEQUALITIES

SIMILAR AS SOLVING LINEAR EQUATION

3x - 5 = 7 3x - 5 < 7

3x = 7+5 3x < 7 + 5

3x = 12 3x < 12

x = 4 x < 4

LINEAR INEQUALITIES

USING SYMBOLS OF

strict inequalities

slack inequalities

YOU CAN SIMPLY

SOLVE THE

INEQUALITIES

SIMILAR AS SOLVE

LINEAR EQUATION

In equalities, symbols of >,<, and are use

Numerical inequalities : compare between numbers (3<8)

Literal inequalities : show the relationship between algebraic

expressions (x>3)

SIMPLY SOLVE the inequalities as linear equation

≥ ≤

another case :

7 x + 13 < 2 x - 7

13 + 7 < 2 x - 7 x

20 < - 5 x

• 4 > x

The sign reverse

only if you multiply

or divide by a

negative number