Do Now 1)Make 4 graphs on each side of your graph paper (8 graphs total). 2)Use the first graph to find the solution to the system: x – y = 5 3x + y = 3

Extra Credit Answer Roger – Dressing on Pink Plate Ted – Potatoes on Black Plate Tom – Salad on Green Plate Pam – Turkey on Purple Plate Donna – Peas on White Plate

Graphing Linear Inequalities with 2 Variables

Checking Solutions An ordered pair (x,y) is a solution if it makes the inequality true. Are the following solutions to: 3x + 2y ≥ 2 (0,0)(2,-1)(0,2) 3(0) + 2(0) ≥ 2 0 ≥ 2 Not a solution 3(2) + 2(-1) ≥ 2 4 ≥ 2 Is a solution 3(0) + 2(2) ≥ 2 4 ≥ 2 Is a solution

Steps to Graphing Linear Inequalities 1. Change the inequality into slope-intercept form, y = mx + b. Graph points, but don’t draw line. * (don’t forget to reverse if you divide both sides by a negative) 2.If > or <, the line should be dashed. If > or <, the line should be solid. ** (open circle = dashed line, closed circle = solid line) 3.If > or >, shade above the line. If < or <, shade below the line.

The graph of an inequality is the graph of all the solutions of the inequality 3x+ 2y ≥ 2 y ≥ -3/2x + 1 (put into slope intercept to graph easier) Graph points using slope and y-intercept Before you connect the points check to see if the line should be solid or dashed solid if ≥ or ≤ and dashed if Shade: above if ≥ or > and below if ≤ or <

y ≥ -3/2x + 1 1) Graph points on the line. (the line is solid ≥) 2) Shade. (shade above for ≥) * If you are asked for a point in the solution set, pick any shaded point.

Example: x  3y  12

Example:

Graph: y < 6

Example: