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

NotesNotes

SummarySummary

LINEAR INEQUALITIES IN TWO VARIABLE

It is like a statement that describes a region on

a graph.

It uses two variables, usually x and y and looks

like this : Ax + By < C or Ax + By ≤ C

Solve the inequality x + y 4

1.Rewriting it in slope-intercept form (y = mx + c)

2.Find the y-intercept (set x = 0)

y = -(0)+4, y = 4 point ; (0,4)

3.Find the x-intercept (set y = 0)

(0) = -x + 4, x = 4 point ; (4,0)

4.Plot the points (0,4) and (4,0) and draw a

dashed line between them

Since the inequality is y -x + 4 you will shade

above the line.

This represents all the points where the sum of x

and y is greater than or equal to 4

≥

≥

KeypointsKeypoints

LINEAR INEQUALITIESLINEAR INEQUALITIES

SIMPLE BREAKDOWN

1 .Variables : x and y are

the things we’re

working with

2 .Constants : A,B,C are

just numbers

3 .Inequality sign : The

symbol (<, ,> or )

tells you whether the

solutions include the

line (solid line) or not

(dashed line).

solid line for :

dashed line for :

≤ ≥

EASY MEMORY!

Find : y-intercept and x-intercept

Plot the points

Draw dashed line or solid line?

Shade the region that satisfy an inequality on the graph