This document discusses combining inequalities through conjunctions (and) and disjunctions (or) to graph their solution sets on a number line. It provides examples of graphing various compound inequalities involving less than, greater than, less than or equal to, and greater than or equal to signs. It also gives an example word problem involving a person's fluctuating weight within a range that is expressed as a compound inequality.

1. 5.4 Combining InequalitiesObjective: To graph the solution sets of conjunctions & disjunctions of inequalitiesFrameworks: 10.P.1, 10.P.7

2. How would you graph a disjunction?x < 2 or x = 2The graph should contain all the solutions of the two sentences

3. Graph 11 – 3x ≤ 26

4. Graph x ≤ -2 and x > 3

5. Graph x ≤ -2 or x > 3

6. Graph x > 1 or x < 4

7. Graph x > 1 and x < 4

8. Graph x -1 ≥ -3 and 4 < 2x - 2

9. Graph x -1 ≥ -3 or 4 < 2x - 2

10. x > -1 and x < 4can also be written as:-1 < x < 4This can be read as: -1 is less than x and x is less than 4 x is greater than -1 and x is less than 4 x is between -1 and 4

11. Graph -3 < 2x + 5 ≤ 9

12. ExampleThis year, Jim’s weight fluctuated within a 7-lb. range. At times, he weighed as little as 125 lb. At other times, he weighed almost 132 lb. Write a conjunction that describes the range of values for Jim’s weight.125 ≤ x and x < 132125 ≤ x < 132

13. Turn to page 182Do 1-20, 35-37