1. Bell work 1. Solve. A painter can be paid in two ways. Plan A: $300.00 + $15.00 per hour Plan B: $20.00 per hour Suppose the job takes n hours for what values of n is plan A better for the painter? 2. Find all sets of three consecutive odd positive integers whose sum is less than 20 but greater than 10.

2. Bell work answers 1. n < 60 hours 2. 3,5,7

3. Pre-AP Algebra 3 Chapter 2 Section 5 Objective: Students will: 1. Solve compound inequalities.

4. Types of Compound Statements Types of Compound Statements 1. Conjunctions (Intersections – ( Ո )) – “and” statements Example: “It is the weekend and I get to rest.” Example: x > - 3 and x - 3 and x < 3 This can be written as -3 < x < 3 2. Disjunctions (Unions ( Ս )) – “or” statements Example: It is cloudy or the sky is clear. Example: y 6

5. Solving Conjunctions (Intersections) Example 1. Solve. 4 < 3x + 1 < 7 4 < 3x + 1and 3x + 1 < 7 4 < 3x + 1and 3x + 1 < 7 -1 -1 -1 -1 -1 -1 -1 -1 3 < 3xand 3x < 6 3 < 3xand 3x < 6 3 3 3 3 1 < xand x < 2 1 < x < 2 Interval notation: (1,2)

6. Graphing the solutions Example 1:4 < 3x + 1and 3x + 1 < 7 1 < xand x < 2 1 < x< 2 |---|---|---|---|---|---| 0 12 3

7. Solving Disjunctions (Unions) Example 2. Solve. 5x + 1 9 - 1 -1 - 3 - 3 - 1 -1 - 3 - 3 5x 6 5x 6 5 5 2 2 5 5 2 2 x 3 Interval notation: (-∞,2) U [3, ∞)

8. Graphing the solutions Example 2:5x + 1 9 x 3  --|---|---|---|---|---|---|  1 2 3 4 1 2 3 4

9. Homework PRE _AP ALGEBRA 3 P. 85 - 86 (2 - 46) even

10. Grade Homework p. 69 (2- 28) even&29 # correct/ 22 2. 6m;4m 4. 1⅞m ; 3⅛m6. 88. $500 10. $800 12. 25°,100°,55°14. l = 110m ; w = 45 m 16. 14, 1618. $43,00020. G = $375. ; F= $1875. 22. 25% increase24. $360 26. no solution28. answer may vary, ie. rope = 36 ft 29. 84 years

11. Grade Homework p. 77 (2- 44) even # correct/22 2. yes 4. 6. a = (F/m)8. P = (I/rt) 10. c² = (E/m)12. w = p-2l14. b² = c² - a² 2 16. π = (A/r²)18. h = (2/11)w + 40 20. π = (3V/4r³) 22. b = (2A-ha)24. v² = (rF/m) h 26. s = (A – r²) 28. $75.00 π r π r 29. Take the Square root and the cube root30. V1 = (T1P2V2) P1T2 P1T2

12. Journal Topic How are compound inequalities applied to our daily activities?