2. WU # 13 1 2 3 4 5 9y +1 < 19 5y +2 -y > 8 -7y  -14 4y – 7y -7 < y + 9 -5y + 6  21 y < 2 y  - 3 y > -4 y  2

3. 4.5 Using Inequalities Goal: To translate phrases to mathematical inequalities and then solve

4. The small 2 letter word IS…. Is huge! It tells you it is either =, >, <, ≥, or≤ If there is not an “is” then it is strictly an operation (+, -,X, or ÷)

5. <  >  “is less than” “is less than or equal to” “is greater than” “is at least” “is at most” “is more than” “is more than or equal to” Note card

6. “x” is 2 x = 2 -2-6-40 6 42 “x” is at least 2 x  2

7. “x” is 2 x = 2 -2-6-40 6 42 “x” is at least 2 x  2 “x” is at most 2 x  2

8. A number “y” is less than 4 y < 4 A number “y” is 3 less than 4 y = 4 - 3

9. A number “r” is at most -6 r  -6

10. A number “t” is at least 0 t  0

11. 12 more than twice a number is less than 20 < 20 12+ 2n < 20

12. The sum of three consecutive integers is less than 75. What are the greatest possible values of these integers? Let x = the first consecutive integer x + (x + 1) + (x + 2) < 75 3x + 3 < 75 x < 24 24, 25, 26 23, 24, 25

13. The sum of three consecutive integers is less than 59. What are the greatest possible values of these integers? Let x = the first consecutive integer x + (x + 1) + (x + 2) < 59 3x + 3 < 59 3x < 56 18, 19, 20 x < 18.67

14. 2. Find the greatest possible pair of integers such that one integer is 3 more than twice the other and their sum is less than 42. Let x = the “other” integer x + (3 + 2x) < 42 3x + 3 < 42 x < 13 12 the “first” integer is 3 + 2x 2713,29 ?

15. The length of a rectangle is 5 cm more than twice the width, and the perimeter is greater than 28 cm. What is the width of the rectangle? Let w = the width 2w + 2(5 + 2w) > 28 6w + 10 > 28 w > 3 length is 5 + 2w

16. The base of a triangle is 8 cm. What height will make the area greater than 32 cm 2 ? Let h = the height 4h > 32 h > 8 Area = ½ b h  ½ 8 h

17. Gail works for a vending company. She gets paid $64 per week plus 20% of her total sales. How much will her total sales for the week have to be in order for Gail to make at least $200? Let s = total sales 64 + 0.2s  200 Pay = 64 + 0.20(s) 0.2s  136 s  680 5 5

18. How long must the sides of an equilateral triangle be in order for the perimeter to be greater than 45 m? Let s = each side 3s > 45 s > 15

19. Assignment: Page 189 (2-26) even Write the questions for 2-14 and just write the data for 16-26