2-3 Intro to Linear Inequalities

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)

Learning: I will explore linear inequalities

Habit: I will draw neat graphs

• 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

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?

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?

1) (5, 4)

2) (5, 4.9)

3) (5, 5)

1) (5, 4)

2) (5, 4.9)

3) (5, 5)