Do Now 1)Use the graph to find the solution to the system. x – y = 5 3x + y = 3

2)Use the graph to find the solution to the system. 2y = 4x – 12 y + x = 3

Graphing Systems w/ Calculators 1)Hit Y= Enter the first equation into Y 1 Enter the second equation into Y 2 2) Hit 2 nd GRAPH 3) Scroll up or down until you find the point where Y 1 and Y 2 are equal.

Graphing Linear Inequalities

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)(0,1) 3(0) + 2(0) ≥ 2 0 ≥ 2 Not a solution 3(2) + 2(-1) ≥ 2 4 ≥ 2 Is a solution 3(0) + 2(1) ≥ 2 2 ≥ 2 Is a solution

Steps to Graphing Linear Inequalities 1. Solve for y, graph points, don’t connect yet. * reverse if you divide both sides by a negative 2. If > or <, the line should be dotted. If > or <, the line should be solid. ** open circle = dotted line, closed circle = solid line 3. If > or >, shade UP from the line. If < or <, shade DOWN from the line.

The graph of an inequality is the graph of all the solutions of the inequality. All of the shaded points are solutions to the inequality. Important Note

3)Graph the inequality. y <

4)Graph the inequality. 3x + 2y ≥ 2

Homework Classwork Packet #’s 8 & 9 Extra Help: Today 2:00 – 3:00

5)Graph the inequality. x – 3y > 6

6)Graph the inequality. y ≤ 6

7)Graph the inequality. x ≥ -1