1.4 Graphing linear Inequalities in Two Variables Pg.17

Checking Solutions An ordered pair (x,y) is a solution if it makes the inequality true. Are the following solutions to: 3x + 2y ≥ 2 true? (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

To sketch the graph of a linear inequality: 1.Sketch the line given by the corresponding equation (solid if ≥ or ≤, dashed if ). This line separates the coordinate plane into 2 half-planes. 2.Test points or just read the inequality. 3.Shade the half-plane that has the solutions to the inequality.

The graph of an inequality is the graph of all the solutions of the inequality 3x+ 2y ≥ 2 Use Slope-intercept formula to graph. Slope Intercept Formula solid if ≥ or ≤ dashed if

3x+ 2y ≥ 2 Step 1: graph the boundary (Line) (the line is solid ≥) Step 2: test a point NOT On the line (0,0) is always The easiest if it’s Not on the line!! 3(0) + 2(0) ≥ 2 0 ≥ 2 Not a solution So shade the other side of the line!!

Graph: y < 6

Graph: x 6

4x – 2y < 7

The perimeter of a rectangle is to be more than 16 inches. Write an inequality describing the possible dimensions of the rectangle. Then graph the inequality and identify three possible solutions. Use perimeter formula

Assignment Pg 19, 1 – 27 odd Pg 21, 1 – 7 all