1. Warm Up: Solve and Graph
Basic: 9−2𝑥≤30−5𝑥
Proficient:
8+2 3−5𝑥 >−3(2𝑥+6)
Advanced:
5 2𝑥−4 3𝑥+1 +4𝑥≥8 6−4𝑥 +2

2. Warm Up
Basic: 𝑥≤7
Proficient: 𝑥<8
Advanced: 𝑥≤−5 7 8 -5

4. Test Results
2nd Period Average: 89.1% Median: 92.7% 3rd Period Average: 92.8% Median: 95.3% 4th Period Average: 86.6% Median: 91.3%

5. Chapter 3 INEQUALITIES

6. Greater Than or Equal To
Basics
Symbol
Name
Graphing
Shading
𝑦>
Greater Than
Number Line
xy Plane
Open Circle
Dotted Line
Right
Above
𝑦<
Less Than
Left
Below 𝑦≥
Greater Than or Equal To
Closed Circle
Solid Line 𝑦≤
Less
Than or
Equal To

7. 3.1 Linear Inequalities; Absolute Value
Solve like a normal equation EXCEPT flip the symbol when you multiply or divide by a negative.

8. 3.1 Linear Inequalities; Absolute Value

9. 3.1 Linear Inequalities; Absolute Value

10. 3.1 Linear Inequalities; Absolute Value

11. 3.1 Linear Inequalities; Absolute Value

12. 3.1 Linear Inequalities; Absolute Value
𝟑𝒙−𝟓 =𝟕
𝟑𝒙−𝟓=𝟕
and
𝟑𝒙−𝟓=−𝟕
𝟑𝒙−𝟓 <𝟕
−𝟕<𝟑𝒙−𝟓<𝟕
𝟑𝒙−𝟓 >𝟕
𝟑𝒙−𝟓<−𝟕 or
𝟑𝒙−𝟓>𝟕

13. 3.1 Linear Inequalities; Absolute Valueor

14. 3.1 Linear Inequalities; Absolute Value

15. Homework
Page 98
#1-29 odds

16. Equal, Greater or Less Than
A jug can hold up to 4 cups of water. How much water is in it?

17. 𝑥≤4
A jug can hold up to 4 cups of water.

18. Equal, Greater or Less Than
John had 10 marbles, but lost some. How many does he have now?

19. 𝑥<10
John had 10 marbles, but lost some. How many does he have now?

21. Equal, Greater or Less Than
You must be at least 13 to watch the movie. How old do you have to be?

22. 𝑥≥13
You must be at least13 to watch the movie. How old do you have to be?

23. Equal, Greater or Less Than
More than 1800 fans attended the game. How many people were at the game?

24. 𝑥>1800
More than 1800 fans attended the game. How many people were at the game?

25. Equal, Greater or Less Than
On the freeway o you must drive between 40 and 75 mph. How fast can you drive?

26. 40<𝑥<75
On the freeway you must drive between 40 and 75 mph. How fast can you drive?

27. Equal, Greater or Less Than
One-fifth of x plus 10 is at most 2.
1 5 𝑥+10≤2

28. Equal, Greater or Less Than
Fifteen is not greater than 8 subtracted from two-fifths of x.
15≤ 2 5 𝑥−8

29. Equal, Greater or Less Than
The product of x and 7 added to nineteen is at least 42.
7𝑥+19≥42

30. Equal, Greater or Less Than
The sum of y and 14 is no more than 100.
𝑦+14≤100

31. Equal, Greater or Less Than
A number x is both less than 4 and greater than or equal to –2.5.
−2.5≤𝑥<4

32. Equal, Greater or Less Than
A number y is either greater than 5 or less than or equal to –1.
𝑦>5 𝑜𝑟 𝑦≤−1