1. Day 8 Inequalities

2. Warm – Up
1. Write an equivalent expression for: 4x + 6d – 7x + 8 – d Solve the equations: a) 5x + 12 = 2(x+4) b) 12x + 8 = 15x – 3x

3. HW Check

4. Inequalities
Complete the Statement: < means__________________ > means__________________ = means__________________

5. How many solutions do most inequalities have. Infinite
How many solutions do most inequalities have? Infinite! (More than 1 million – cannot count the total number)

6. Less Than and Is Less Than have DIFFERENT MEANINGS X less than 3 means X – 3 X is less than 3 means X < 3

7. Evaluating inequalities to identify solutions

8. Graphing Inequalities: Remember
LEss than is LEft gReateR is Right

9. Graph -1 on the number line
Graph -1 on the number line. How would I show that a number is less than -1?

10. Graphing solutions to inequalities
The solution is not just one number therefore we can graph the solution to represent all solutions

11. Graphing
Create a number line with at least 3 numbers on it. The number given in the inequality and one number less than it and one number greater than it.
Graph a circle (open/closed) on the number in the inequality
Shade according to the less than or greater than symbol

12. Reminders:
Closed circle if inequality has: Open circle if inequality has:

13. If the variable is on the LEFT SHADE as if the symbol were an arrow If the Variable is on the Right Rewrite the inequality so that the variable is on the LEFT

14. Ex.
X > S < 5

15. Write an inequality to show that Kyle is older than Jaime

16. Exs. 2.
**Remember**
LEss than is LEft
gReateR is Right

17. Canadian Speed Limit Sign limit sign
Australian 60kmh speed
limit sign
US speed limit sign

19. Solve (solve like you would solve an equation!)

20. How many solutions do inequalities have?
An infinite number of solutions!

21. Solve and graph each example
1. 2.

22. Subtracting to solve

23. The maximum safe load of a chairlift is 680 lbs
The maximum safe load of a chairlift is 680 lbs. The weight of the person in the lift is 124 lbs, and the weight of the bicycle is 32 lbs. How much additional weight can the chairlift safely carry?

24. Your baseball team has a goal to collect at least 106 blankets for a shelter. Team members brought 42 blankets on Monday and 65 blankets on Wednesday. How many blankets must the team donate on Friday to make or exceed their goal?

25. In order to receive a B in your literature class, you must earn more than 350 points of reading credits. Last week you earned 120 points. This week you earned 90 points. How many more points must you earn to receive at least a B?

26. Problem: Mr. Gleason is opening a new restaurant.
He has enough booths to seat up to 40 people.
He is ordering tables to fill up the rest of the seating space.
Each table can seat up to 6 people. 
Questions:
1) If t represents the number of tables Mr. Gleason orders, write an expression to show the total number of people that can be seated at booths and tables. Explain you reasoning.
2)Write and inequality that could be used to determine, t, the number of tables Mr. Gleason needs to order so that he has enough seating at booths and tables for at least 125 people. Explain your reasoning.
3) Solve the inequality from the previous question to determine the number of tables Mr. Gleason needs to order. Show or explain how you got your answer.

27. Problem:
The track team at Hale High School plans to sell t-shirts to raise money for new equipment. In order for the track team to make a profit, the income from selling the T- shirts must be greater than the cost of making the T-shirts. At Ted’s Tees, printing costs are $0.80 per shirt and the cost for each T-shirt is $3.75. The shop also charges a $125 fee per order for the silk-screen design.

28. Complete the 4 word problems

29. Homework
2.7