1. Ch 6.4 Solving Compound Inequalities Involving “AND” Objective: To solve and graph compound inequalities involving “and”.

2. Definitions Compound Inequality: Two inequalities connected by the words “and” or “or” Inequality: Two numbers or expressions that are not “strictly “ equal to each other. They are separated by one of these symbols: ≥ (less than) less than (greater than) greater than or equal to or equal to

3. Writing & Graphing an “and” Compound Inequality Write a compound inequality that describes all the real numbers greater than -2 and less than 5. and “In-between statement” -3 -2 -1 0 1 2 3 4 5 6

4. Solve and graph the compound inequality. and -7 0 4

5. Solve and graph. -3 0 1

6. Solve and graph. -2 0 10

7. Solving Compound Inequality Word Problems 1)What information do you have? 2)What are you trying to solve? a.Determine the left side (of the inequality) b.Determine the middle (of the inequality) c.Determine the right side (of the inequality) d.Determine which inequality sign to use (can the left side be equal to the right side?)

8. A racquetball club charges a $20 membership and $2 per hour. How many hours per month can be played on a budget of $50 to $70? Let x = # of hours C = total cost C = 20 + 2x x C 0 5 10 15 20 25 30 20 30 40 5060 70 80 From 15 to 25 hours