Section 4.4 Inequalities in Two Variables Graphs of Linear Inequalities x + y ≤ 4 Systems of...

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Section 4.4 Inequalities in Two Variables Graphs of Linear Inequalities x + y 4 Systems of Linear Inequalities x + y 4 x – y < 4 4.4 1

Transcript of Section 4.4 Inequalities in Two Variables Graphs of Linear Inequalities x + y ≤ 4 Systems of...

Page 1: Section 4.4 Inequalities in Two Variables  Graphs of Linear Inequalities  x + y ≤ 4  Systems of Linear Inequalities  x + y ≤ 4  x – y < 4 4.41.

4.4 1

Section 4.4Inequalities in Two Variables

Graphs of Linear Inequalities x + y ≤ 4

Systems of Linear Inequalities x + y ≤ 4 x – y < 4

Page 2: Section 4.4 Inequalities in Two Variables  Graphs of Linear Inequalities  x + y ≤ 4  Systems of Linear Inequalities  x + y ≤ 4  x – y < 4 4.41.

4.4 2

Checking Solutions

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4.4 3

(3,1)

sidethatShade

yes

FTEvaluate

poaPick

linetheGraph

!31?

:/

int

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4.4 4

Page 5: Section 4.4 Inequalities in Two Variables  Graphs of Linear Inequalities  x + y ≤ 4  Systems of Linear Inequalities  x + y ≤ 4  x – y < 4 4.41.

4.4 5

Slope-Intercept Form Predicts Shading

Page 6: Section 4.4 Inequalities in Two Variables  Graphs of Linear Inequalities  x + y ≤ 4  Systems of Linear Inequalities  x + y ≤ 4  x – y < 4 4.41.

4.4 6

ABOVE BELOWy > mx + b y < mx + b

Page 7: Section 4.4 Inequalities in Two Variables  Graphs of Linear Inequalities  x + y ≤ 4  Systems of Linear Inequalities  x + y ≤ 4  x – y < 4 4.41.

4.4 7

Horizontal & Vertical Lines

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4.4 8

Systems of Two Linear Inequalities Graph the first one, shading the solution Graph the second, shading in a different way Highlight the double-shaded areas

Page 9: Section 4.4 Inequalities in Two Variables  Graphs of Linear Inequalities  x + y ≤ 4  Systems of Linear Inequalities  x + y ≤ 4  x – y < 4 4.41.

4.4 9

(not a 3-D graph)

Systems of Three Linear Inequalities Graph all three, looking for the common area

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4.4 10

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Section 5.1 Introduction to Polynomials & Polynomial Functions