Linear Inequalities and Systems of Linear Inequalities

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Linear Inequalities and Systems of Linear Inequalities

Graphing Linear Inequalities Determine method to graph line Slope Intercept Form (y-intercept & slope) Point Slope Form (point & slope) Standard Form (x- and y-intercepts) Vertical Line ( x=3) or Horizontal Line (y=5) Solid Line vs. Dashed Line Determine which half plane to shade by checking a point Solution includes infinite # of points

Ex#1: Graph

Ex#2: Graph

Ex#3: Graph

System of Linear Inequalities Graph each linear inequality Solution Set includes all points in the intersection of the two shaded regions Check region borders included in solution or not

Ex#4: Graph the system:

Ex#5: Graph the system:

Ex#6: Graph the system:

Points to Remember Graphing methods Dashed vs. Solid Line Slope intercept Using Intercepts Dashed vs. Solid Line Shade by testing a point (0,0) is a great point to use Intersection of shaded regions includes all solutions to system of inequalities No intersection means there are no solution points.