Graphing Linear Inequalities

Linear Inequality in Two Variables
Ax + By > C or y > mx + b

The line divides the plan into two regions called half planes. One half plane
will consist of valid solutions .

To solve :
1. Solve for y
2. Graph the equation y = mx+b. If the inequality is y > mx+b, draw a
dashed line and shade above the line. If the inequality is y ≥ mx+b,
draw a solid line and shade above the line. If the inequality is y <
mx+b, draw a dashed line and shade below the line. If the inequality is
y ≤ mx+b, draw a solid line and shade below.

Ex 1 Graph x + 3y > 4

Ex 2 Graph x ≤ 2y

Ex 3 Graph the intersections of x ≤ 2 and y ≥ x+1

Ex 4 Graph the union of x+2y ≤ 4 or y ≥ -1

3.7 Homework # 1 – 57 every other odd