Graphing Linear Inequalities

Summary: On Solving Linear Systems

(Graphing, Substitution, Elimination Methods)Graphing:

Substitution

Elimination

y = ½x + 1

y = -⅔x

y = 2x - 3y = -3x + 2

y = -½x + 1

y = -5x -1

1.) 2.) 3.)

2x + y = 8y = x - 7

y = 3x - 6 -3x + y = -6

y = x + 4y = 3x

1.) 2.) 3.)

x + 2y = 73x - 2y = 1

8x - 9y = 194x + y = -7

4x - 3y = 113x - 5y = -11

1.) 2.) 3.)

Graphing linear equation

y = 2x-3

Example 1

Graphing linear INEQUALITY

y < 2x-3

Example 2

Your Turn!

y < x-1

Graphing linear INEQUALITY

y ≥ 2x-3 Text

Example 3

System of Linear

Equations

Two or more linear equations together form a system of linear equations.

y ≥ x-1(2,1)

Your Turn!

System of Linear

INEQUALITIES

Two or more linear inequalities together form a system of linear inequalities.

y > 2x-3y < x-1

(2,1)

Example 4

y < 2x-3y > x-1

(2,1)

System of Linear

INEQUALITIES

Two or more linear inequalities together form a system of linear inequalities.

Example 5

Your Turn!

y > x+5

y ≤ -4x(-1,4)

Your Turn!

y < x+5

y ≥ -4x(-1,4)

Your Turn again!

y > -½x + 2

y ≥ -3x - 3

(-2,3)

Your Turn again!

y > -½x + 2

y ≥ -3x - 3

(-2,3)