1. 2-8 Two- Variable Inequalities Apply rules for graphing by creating the graph of a two-variable inequality.

2. A linear inequality in two variables (ex: y > x – 3) can be formed by replacing the equal sign with an inequality symbol. A solution of an inequality is an ordered pair (x,y) that makes the inequality true. Solution of a Linear Inequality

3. Is the ordered pair a solution to the inequality y > x – 3? (1,2) o Substitute values for x and y: 2 > 1 – 3 o Simplify: 2 > -2 o Check if this is true: yes! It is a solution. (-3,-7) o No! This is not a solution.Practice

4. It should still be in slope-intercept form o So we still use a slope and y-intercept to graph. Use a dashed line if > or < but not equal to Use a solid line if ≤ or ≥ If y is greater than, shade above the line If y is less than, shade below the line. Graphing a Linear Inequality

5. What is the graph of y > x – 2? Graph y = x – 2 Use a dashed line Shade above the line since it is greater than You Try!

6. What is the graph of x > -1? Graph x = -1 Use a dashed line Shade to the right since x is greater than Graphing in One variable

7. What is the graph of y ≥ 2? You try!

8. An interior decorator will remodel the kitchen as shown and can only spend $420 or less. What are 3 possible prices for wallpaper and tile? Write an inequality o 24x + 12y ≤ 420 Write in slope-int form o y ≤ -2x +35 Graph and pick 3 solutions. o $5 and $5 o $10 and $10 o $5 and $20 Modeling with inequalities

9. Absolute Value Inequality

10. Assignment Odds p.118 #9-15, 19-23, 27, 39-43