2-3 Intro to Linear Inequalities

2-3 Intro to Linear Inequalities

You need graph paper today

Warm Up

Decide if each ordered pair makes the expression 2x + 3y greater than, less than or equal to 12:

a) (0, 5)

b) (6, 0)

c) (-1, -1)

d) (-5, 10)

Multiple Choice

For 2x + 3y, does (0, 5) make the expression more than, less than or equal to 12?

• more than 12

• less than 12

• equal to 12

Multiple Choice

For 2x + 3y, does (-1, -1) make the expression more than, less than or equal to 12?

• more than 12

• less than 12

• equal to 12

Learning & Habit Objective

Learning: I will explore linear inequalities

Habit: I will draw neat graphs

Success Criteria

• I can test an ordered pair in a linear equation

• I can represent my result in a coordinate graph

• I can use my plotted points to find the shaded region represented by a linear inequality

Notebook & Graph Paper

Consider y < x + 2

1) Find five (x,y) pairs on this grid that satisfy the inequality

2) Find five (x,y) pairs on this grid that no not satisfy the inequality

3)What do you notice?

Notebook & Graph Paper

Consider x > y

1) Find five (x,y) pairs on this grid that satisfy the inequality

2) Find five (x,y) pairs on this grid that no not satisfy the inequality

3)What do you notice?

Which of these points satisfy x > y

1) (5, 4)

2) (5, 4.9)

3) (5, 5)

1) (5, 4)

2) (5, 4.9)

3) (5, 5)

Predict which graph represents each inequality