Warm-Up: Solve and Graph

1. 2. 1052 x 17753 x

MISS ZEUGGINNOVEMBER 5TH 2008

OBJECTIVES: GRAPH A LINEAR INEQUALITY IN TWO

VARIABLES

Standards: 2.5, 2.8

CHAPTER 6 SECTION 5Graphing Linear In equalities in Two Variables

Inequality Review

Graph the following Inequalities

Examples:

4x 0x3x 2x

Checking Solutions of a Linear Inequality Is (0,0) a solution of ?

Is (2,-1) a solution of

4 yx

32 yx

Graphing Inequalities

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

Step 1:

Graph

Check: Point (-3,0)

Shade:

42 yx

42 xy

Examples:

2. 3. 3 yx 6 yx

Examples:

4. 5. 32 yx 53 yx

Examples:

6. 7. 825 yx 7 yx

Examples:

8. 4. 125 y 02x

Partner Class Work

Kyle and Shay- Page 363 #23, 10 Tyler and Alyssa- Page 363 #24, 8 Kevin and Albert- Page 363 #11, 25 Martin and Mrs. K- Page 363 #12, 26

Graph the Inequalities and explain your reasoning on how you solved it

Closure

Graph the following 1.

How Many Answers Should You have for #1?

2. How Many Answers Should You have for #2?

124 x

143 x

Homework

Page 363 #52-60 Page 384 #1-10, 12, 13