Download Miss Zeuggin October 27th 2008 Objectives: graph linear

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Warm-Up: Solve and Graph

1. 2 x  5  10

2. 3x  5  7  17
CHAPTER 6 SECTION 5
Graphing Linear Inequalities in Two Variables
Inequality Review

Graph the following Inequalities
Examples:
x4
x  3
x0
x2
Checking Solutions of a Linear
Inequality

Is (0,0) a solution of x  y  4 ?

Is (2,-1) a solution of 2 x  y  3
Graphing Inequalities: 2 variables

STEPS:
 Rewrite
equation in slope-intercept form y=mx+b
 Graph the equation
 Choose a point to check
 Shade in the correct area
<
or > is a dotted line
 ≤ or ≥ is a solid line
Examples

1. Graph the inequality2 x 
 Step
1:
y  2x  4
 Graph
 Check:
 Shade:
Point (0,0)
y4
Examples:

2. x  y  3

3.
x y 6
Examples:

4.  2 x  y  3

5.
3 x  y  5
Examples:

6.
5x  2 y  8

7.
x  y  7
Examples:

8.
y  5  12

9.
x2 0
Partner Class Work




3 kids- Page 363 #10, 23
3 kids- Page 363 # 8, 24
3 kids- Page 363 #11, 25
3 kids- Page 363 #12, 26
 Graph
the Inequalities and explain your reasoning on
how you solved it
Homework

Page 363 # 43-48 all, 52-60 even
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