1. Do Now 12/18/09  Copy HW in your planner.  Text p. 384, #5-10 all, 18-30 even, 38 & 40  Quiz sections 6.1 - 6.4 Tuesday  In your notebook, put the following heading on a new page in your notebook. “Section 6.4, Solve Compound Inequalities.” Then list five examples of compound words. “Section 6.4, Solve Compound Inequalities.” Then list five examples of compound words.

2. COMPOUND INEQUALITY – COMPOUND INEQUALITY – consists of two separate inequalities joined by AND or OR. Section 6.4 “Solve Compound Inequalities”

3. “AND” Compound Inequalities  The graph of a compound inequality with AND is the INTERSECTION of the graphs of the inequalities. Graph x > -2 012 -2 3 Graph x ≤ 1 012-23 Graph of x ≤ 1 and x > -2 012-23

4. “OR” Compound Inequalities  The graph of a compound inequality with OR is the UNION of the graphs of the inequalities. Graph x > 2 012 -2 3 Graph x ≤ -1 012-23 Graph of x ≤ -1 or x > 2 012-23

5. Translate the verbal phrase into an inequality. Then graph the inequality. All real numbers that are greater than – 2 and less than 3. Inequality: Graph: All real numbers that are less than 0 or greater than or equal to 2. Inequality:Graph: – 2 < x < 3 x < 0 or x ≥ 2

6. Solve Solve a Compound Inequality with AND 2 < x + 5 < 9. Graph your solution. Separate the compound inequality into two inequalities. Then solve each inequality separately. 2 < x + 5 Write two inequalities. 2 – 5 < x + 5 – 5 Subtract 5 from each side. -3 < x Simplify. The compound inequality can be written as – 3 < x < 4. x + 5 < 9 x + 5 – 5 < 9 – 5 x < 4 and and and

7. Solve Solve a Compound Inequality with AND –7 < x – 5 < -1. Graph your solution. Separate the compound inequality into two inequalities. Then solve each inequality separately. –7 < x – 5 Write two inequalities. –7 + 5 < x –5 + 5 Add 5 to each side. –2 < x Simplify. The compound inequality can be written as – 2 < x < 4. and x – 5 < -1 x – 5 + 5 < -1 + 5 x < 4 and and – 3 – 2 – 1 0 1 2 3 4 5 – 3 – 2 – 1 0 1 2 3 4 5 Graph:

8. Write original inequality. Solve 2x + 3 12. Graph your solution. Solve the two inequalities separately. 2x + 3 < 9 or 3x – 6 > 12 2x + 3 – 3 < 9 – 3 or 3x – 6 + 6 > 12 + 6 Addition or Subtraction property of inequality 2x < 6 or 3x > 18 Simplify. Solve a Compound Inequality with OR x < 3 or x > 6 Simplify. The solutions are all real numbers less than 3 or greater than 6. than 6.

9. Solve Graph your solution. Solve the two inequalities separately. Solve a Compound Inequality with OR 3h + 1< – 5 3h + 1< – 5or 2h – 5 > 7 Simplify. 3h + 1< – 5 Write two inequalities. Addition & Subtraction property inequalities. 3h < – 6 or 2h – 5 > 7 3h + 1 – 1< – 5 – 1 or 2h – 5 + 5 > 7 + 5 or 2h > 12 h < – 2 or h > 6 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7

10. What Did You Learn Today? “OR” statement “AND” statement

11. Homework  Text p. 384, #5-10 all, 18-30 even, 38 & 40 24

12. Make a TRAIN…  Player #1 selects a block.  Player #2 selects a block that has only ONE attribute that is DIFFERENT and places it next to the first.  Players #3 & #4 repeat this pattern.  Which group can make the longest train the fastest?