1. 7.4 Compound Inequalities Using “and” and “or”

2. Intervals Represent each situation with a graph and an inequality:  All years before 3000 B.C. are part of prehistory.  Water is liquid at temperatures between 0 o C and 100 o C.  The measure of an obtuse angle is between 90 o and 180 o.  Cirrus clouds are found above 7 km.

3. Intersections Suppose Jarrod says “I will buy peanuts and raisins.” He bought only peanuts. Was his statement accurate?  A compound inequality containing “and” is true only if both inequalities are true.  The graph of a compound inequality containing “and” is the intersection of the graphs of the two inequalities.

4. Graphing intersections  Explore graphing intersections using the Gizmo: Compound Inequalities  Graph the solution set of x < 10 and x < 5.  Solve -3 < x – 2 ≤ 0. Then graph the solution set.

5. Unions Jarrod is at a food store and says, “I will buy peanuts or I will buy raisins.” Is his statement accurate if:  He buys peanuts only.  He buys raisins only.  He buys a mixture of raisins and peanuts. A compound inequality containing “or” is true if one or more of the inequalities is true. The graph of a compound inequality containing “or” is the union of the graphs of the two inequalities.

6. Graphing unions  Explore graphing unions using the Gizmo: Compound Inequalities  Graph the solution set of x ≥ 3 or x < 2.  Solve 3m > m + 4 or -2m > m – 6. Then graph the solution set.

7. Assignment 7.4 #1-17, 54, 55, 59 – 68.