1. Do Now
1) Solve and graph.
3t – 7 ≥ and t – 6 ≤ 10

2. 2) Solve and graph.
– 3h + 4 > or 7h – 3 ≥ 18

3. 3) Draw the graph of:
– 5 < x ≤ – 1

4. Inequalities With “3 Sides”
To solve an inequality of this type, whatever you do to one side you must do to the other two sides.
4) – 5 < x – 4 < 2

5. 5) – 5 < 2x – 3 ≤ 15

6. Practice
Write a compound inequality for each graph: 6) 7)

7. Write a compound inequality for each graph.8) 9)

8. Mixed Practice
10) Solve and graph.
5 < 2w + 3 ≤ 11

9. 11) n – 7 ≤ – or n – 7 > 1

10. 12) 3z < and – 2z ≤ 8

11. Special Case
13) Graph.
𝒘>−𝟐 or 𝒘>𝟑

12. Special Case
14) Graph.
𝒘>−𝟐 and 𝒘>𝟑

13. Permission Slips Due Wednesday
Homework
Packet pg. 5 #’s 5 – 12
Permission Slips Due Wednesday

14. g) Graph the compound sentence 𝑥 > −2 or 𝑥 = −2 on the number line below
h) How could we abbreviate the sentence 𝑥 > −2 or 𝑥 = −2?
i) Rewrite 𝑥 ≤ 4 as a compound sentence and graph the solutions to the sentence on the
number line below

15. Example 2
Graph each compound sentence on a number line.
a. 𝑥 = 2 or 𝑥 > 6
b. 𝑥 ≤ −5 or 𝑥 ≥ 2
Rewrite as a compound sentence and graph the sentence on a number line.
c. 1 ≤ 𝑥 ≤ 3

16. a. 8 + 6 ≤ 14 and 1 3 < 1 2 . b. 5−8 < 0 or 10 + 13 ≠ 23
Exercise 4
Determine if each sentence is true or false. Explain your reasoning.
a ≤ 14 and < 1 2 .
b. 5−8 < 0 or ≠ 23

17. Solve each system and graph the solution on a number line.
𝑐. 𝑥−9 = 0 or 𝑥 + 15 = 0
d. 5𝑥−8 = −23 or 𝑥 + 1 = −10

18. Graph the solution set to each compound inequality on a number line.
e. 𝑥 < −8 or 𝑥 > −8
f < 𝑥 ≤ 10

19. Write a compound inequality for each graph.
i. A poll shows that a candidate is projected to receive 57% of the votes. If the margin for error is plus or minus 𝟑%, write a compound inequality for the percentage of votes the candidate can expect to get.
j. Mercury is one of only two elements that is liquid at room temperature. Mercury is non-liquid for temperatures less than −𝟑𝟖.𝟎°F or greater than 𝟔𝟕𝟑.𝟖°F. Write a compound inequality for the temperatures at which mercury is non-liquid.