1. Monday, February 25, 2019 7.5 Solve and Graph Inequalities
Chapter 7 – Day 6
7.5 Solve and Graph Inequalities
7.5 HW: TB329 #18-38 even (submit online)
Grab a quarter sheet from the back of the room and answer the following question:
Translate the sentence into an equation, then solve and check it.
The product of a number 4 and w is 36.
PLEASE MOVE DESKS BACK INTO GROUP

2. Translate the sentence into an equation, then solve and check it
Translate the sentence into an equation, then solve and check it. The product of a number 4 and w is 36.
4𝑤= 𝑤=9
Check: 4𝑤=36
4(9)=36
36=36

3. 2/15 Solve Equations by Predicting 96
Date Title Page
2/15 Ch 5A Revisited
2/15 Solve Equations by Predicting
2/ Notes: Solving Equations by + or
2/19 Ch 5A Revisited
2/ HW
2/19 Ch 5B Test
2/ HW Extra Practice
2/ Notes: Word Problems
2/ Notes: Solving Equations by x or /
2/ HW
2/ Pair Work
2/ Notes: Writing and Graphing Inequalities
2/ Matching
2/ HW

4. 7.5 Notes: Writing and Graphing Inequalities 2/25
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7.5 Notes: Writing and Graphing Inequalities /25

5. 7.5 Notes: Writing and Graphing Inequalities 2/25
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7.5 Notes: Writing and Graphing Inequalities /25
< ≤
> ≥

6. 7.5 Notes: Writing and Graphing Inequalities 2/25
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7.5 Notes: Writing and Graphing Inequalities /25
< less than ≤
> ≥

7. 7.5 Notes: Writing and Graphing Inequalities 2/25
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7.5 Notes: Writing and Graphing Inequalities /25
< less than
≤ less than or equal to
> ≥

8. 7.5 Notes: Writing and Graphing Inequalities 2/25
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7.5 Notes: Writing and Graphing Inequalities /25
< less than
≤ less than or equal to
> greater than ≥

9. 7.5 Notes: Writing and Graphing Inequalities 2/25
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7.5 Notes: Writing and Graphing Inequalities /25
< less than
≤ less than or equal to
> greater than
≥ greater than or equal to

10. 7.5 Notes: Writing and Graphing Inequalities 2/25
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7.5 Notes: Writing and Graphing Inequalities /25
< less than
≤ less than or equal to
> greater than
≥ greater than or equal to
Every inequality can be graphed on a number line

11. 7.5 Notes: Writing and Graphing Inequalities 2/25
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7.5 Notes: Writing and Graphing Inequalities /25
< less than
≤ less than or equal to
> greater than
≥ greater than or equal to
Every inequality can be graphed on a number line
1a. 𝒙> −𝟏

12. 7.5 Notes: Writing and Graphing Inequalities 2/25
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7.5 Notes: Writing and Graphing Inequalities /25
< less than
≤ less than or equal to
> greater than
≥ greater than or equal to
Every inequality can be graphed on a number line
1a. 𝒙> −𝟏 −𝟐 −𝟏 𝟎

13. 7.5 Notes: Writing and Graphing Inequalities 2/25
106
7.5 Notes: Writing and Graphing Inequalities /25
< less than
≤ less than or equal to
> greater than
≥ greater than or equal to
Every inequality can be graphed on a number line
1a. 𝒙> −𝟏 −𝟐 −𝟏 𝟎

14. 7.5 Notes: Writing and Graphing Inequalities 2/25
106
7.5 Notes: Writing and Graphing Inequalities /25
< less than
≤ less than or equal to
> greater than
≥ greater than or equal to
Every inequality can be graphed on a number line
1a. 𝒙> −𝟏
An open circle (unfilled) is used for < or > (symbols that do not include the number). −𝟐 −𝟏 𝟎

15. 7.5 Notes: Writing and Graphing Inequalities 2/25
106
7.5 Notes: Writing and Graphing Inequalities /25
< less than
≤ less than or equal to
> greater than
≥ greater than or equal to
Every inequality can be graphed on a number line
An open circle (unfilled) is used for < or > (symbols that do not include the number).
1a. 𝒙> −𝟏 −𝟐 −𝟏 𝟎

16. 7.5 Notes: Writing and Graphing Inequalities 2/25
106
7.5 Notes: Writing and Graphing Inequalities /25
< less than
≤ less than or equal to
> greater than
≥ greater than or equal to
Every inequality can be graphed on a number line
An open circle (unfilled) is used for < or > (symbols that do not include the number).
An arrow in the direction of the symbol to indicate the solution set.
1a. 𝒙> −𝟏 −𝟐 −𝟏 𝟎

17. 1b. 𝒙≥ −𝟏

18. 1b. 𝒙≥ −𝟏 −𝟐 −𝟏 𝟎

19. 1b. 𝒙≥ −𝟏 −𝟐 −𝟏 𝟎

20. 1b. 𝒙≥ −𝟏
A closed circle is used for ≤𝒂𝒏𝒅 ≥ (symbols that do include the number). −𝟐 −𝟏 𝟎

21. 1b. 𝒙≥ −𝟏
A closed circle is used for ≤𝒂𝒏𝒅 ≥ (symbols that do include the number). −𝟐 −𝟏 𝟎

22. 1b. 𝒙≥ −𝟏
A closed circle is used for ≤𝒂𝒏𝒅 ≥ (symbols that do include the number). −𝟐 −𝟏 𝟎
1c. 𝒙< −𝟏

23. 1b. 𝒙≥ −𝟏
A closed circle is used for ≤𝒂𝒏𝒅 ≥ (symbols that do include the number). −𝟐 −𝟏 𝟎
1c. 𝒙< −𝟏 −𝟐 −𝟏 𝟎

24. 1b. 𝒙≥ −𝟏
A closed circle is used for ≤𝒂𝒏𝒅 ≥ (symbols that do include the number). −𝟐 −𝟏 𝟎
1c. 𝒙< −𝟏 −𝟐 −𝟏 𝟎

25. 1b. 𝒙≥ −𝟏
A closed circle is used for ≤𝒂𝒏𝒅 ≥ (symbols that do include the number). −𝟐 −𝟏 𝟎
1c. 𝒙< −𝟏 −𝟐 −𝟏 𝟎

26. 1b. 𝒙≥ −𝟏
A closed circle is used for ≤𝒂𝒏𝒅 ≥ (symbols that do include the number). −𝟐 −𝟏 𝟎
1c. 𝒙< −𝟏 −𝟐 −𝟏 𝟎
1d. 𝒙≤ −𝟏

27. 1b. 𝒙≥ −𝟏
A closed circle is used for ≤𝒂𝒏𝒅 ≥ (symbols that do include the number). −𝟐 −𝟏 𝟎
1c. 𝒙< −𝟏 −𝟐 −𝟏 𝟎
1d. 𝒙≤ −𝟏 −𝟐 −𝟏 𝟎

28. 1b. 𝒙≥ −𝟏
A closed circle is used for ≤𝒂𝒏𝒅 ≥ (symbols that do include the number). −𝟐 −𝟏 𝟎
1c. 𝒙< −𝟏 −𝟐 −𝟏 𝟎
1d. 𝒙≤ −𝟏 −𝟐 −𝟏 𝟎

29. 1b. 𝒙≥ −𝟏
A closed circle is used for ≤𝒂𝒏𝒅 ≥ (symbols that do include the number). −𝟐 −𝟏 𝟎
1c. 𝒙< −𝟏 −𝟐 −𝟏 𝟎
1d. 𝒙≤ −𝟏 −𝟐 −𝟏 𝟎

30. On Your Own, graph the following inequalities
2b. 𝐤≥−𝟐
2c. 𝐲≤𝟎
2d. 𝒉>𝟑

31. On Your Own, graph the following inequalities𝟒 𝟓 𝟔
2b. 𝐤≥−𝟐 −𝟑 −𝟏 −𝟐
2c. 𝐲≤𝟎 −𝟏 𝟏 𝟎
2d. 𝒉>𝟑 𝟐 𝟒 𝟑

32. 7.5 HW: TB329 #18-38 even (submit online) 2/25
108
7.5 HW: TB329 #18-38 even (submit online) /25

33. Wrap Up What are the four symbols used for inequalities?
What symbols require using an open circle?
What symbols require using a closed circle?
What symbols indicate a right arrow?
What symbols indicate a left arrow?
What symbol does at most use?
What symbol does at least use?
What symbol does up to use?
What symbol does over use?
What symbol does under use?
What symbol does more than use?