Graphing Linear Inequalities

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Presentation transcript:

Graphing Linear Inequalities

Summary: On Solving Linear Systems (Graphing, Substitution, Elimination Methods) y = ½x + 1 y = -⅔x y = 2x - 3 y = -3x + 2 y = -½x + 1 y = -5x -1 1.) 2.) 3.) Substitution 2x + y = 8 y = x - 7 y = 3x - 6 -3x + y = -6 y = x + 4 y = 3x 1.) 2.) 3.) Elimination x + 2y = 7 3x - 2y = 1 8x - 9y = 19 4x + y = -7 4x - 3y = 11 3x - 5y = -11 1.) 2.) 3.)

Graphing linear equation Example 1 y = 2x-3

Graphing linear INEQUALITY Example 2 y < 2x-3

Your Turn! y < x-1

Graphing linear INEQUALITY Example 3 y ≥ 2x-3 Text

System of Linear Equations Two or more linear equations together form a system of linear equations. Your Turn! y ≥ x-1 (2,1)

System of Linear INEQUALITIES Two or more linear inequalities together form a system of linear inequalities. Example 4 y > 2x-3 (2,1) y < x-1

System of Linear INEQUALITIES Two or more linear inequalities together form a system of linear inequalities. Example 5 y < 2x-3 (2,1) y > x-1

Your Turn! (-1,4) y ≤ -4x y > x+5

Your Turn! (-1,4) y ≥ -4x y < x+5

Your Turn again! y > -½x + 2 (-2,3) y ≥ -3x - 3

Your Turn again! y > -½x + 2 (-2,3) y ≥ -3x - 3