1. Objectives: Graph the solution sets of compound inequalities. Solve compound inequalities. Standards Addressed: 2.8.8.C: Create and interpret inequalities that model problem situations. 2.8.8.E: Select and use a strategy to solve an inequality and check the solution.

3.  F > 6 and F < 10  6 < F < 10

4.  Notice that in Example 1a. that c > 1 AND c 6 AND x < 10. A compound inequality involving AND has a solution region that represents an intersection, or overlapping, of the solution regions for the separate parts of the inequality. These two examples of compound inequalities are called a conjunction.

5.  A 15,000

6.  C 65

7.  Example 2 a and b illustrates the other type of compound inequality, a disjunction. A compound inequality involving OR has solution regions that are the union, or the total, of the solution regions of the separate parts of the inequality.

9.  A. No solution !!  B. Y > -3 AND Y < 6  Q 16

11.  -6 < 2x + 4  -10 < 2x  -5 < x AND  2x + 4 < 10  2x < 6  x < 3  -5 < x < 3

13.  5x < 15  x < 3  OR  3x – 7 > 23  3x > 30  x > 10  X 10

14.  2x + 1 < 13  2x < 12  x < 6  OR  x – 5 > -5  ALL REALS!!!

15.  7x + 8 < 43  7x < 35  x < 5  OR  x – 16 > -13  x > 3  ALL REALS!!

16.  AND: intersection or no solution  OR: union or All Real #s