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

2. Warm Up
1. 𝑥≤7
2. 𝑥<8
3. 𝑥≤−5 7 8 -5

3. 4. Simplify: 4±
= 4± 36∗2 8
= 4±
= 2±
𝑜𝑟 ±

5. Test Results
6th Period Average: 88% Median: 90.1% 7th Period Average: 88.5% Median: 96.7% 8th Period Average: 83.2% Median: 88.7%

6. Chapter 3 INEQUALITIES

7. 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

8. 3.1 Linear Inequalities; Absolute Value
Solve like a normal equation EXCEPT flip the symbol when you multiply or divide by a negative.

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

13. 3.1 Linear Inequalities; Absolute Value
𝑎𝑥+𝑏=𝑐 and 𝑎𝑥+𝑏=−𝑐
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

14. 3.1 Linear Inequalities; Absolute Value
Solve and Graph. or

15. 3.1 Linear Inequalities; Absolute Value
Solve and Graph.

16. Homework
Page 98
#1-29 odds

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

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

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

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

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

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

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

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

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

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

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

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

30. 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

31. 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