7-6+Graphing+Systems+of+Linear+Inequalites

=Graphing Systems of Linear Inequalities= - Two or more linear inequalities together form a system of linear inequalities. Solution Set: -Graph each inequalities - Find the region of intersection

//Hint:// Shade first equation before graphing other equation. //Hint:// Shade by signs

__Region__ of Intersection: Place where both inequalities get shaded.

media type="custom" key="12313938"



Real World Problem: Suppose you want to fence a rectangular plot of land for your dog to run. You want the length of the plot to be at least 50 feet and the perimeter to be no more than 140 feet. Solve by graphing to show all the possible dimensions of the fenced in plot.

Step 1: Relate

2 l +2 w is less than or equal to 140 l is greater than or equal to 50

Step 2: Define

l =length (x) w =width (y)

Step 3: Graph