1. Warm Up Solve. Homework- Page 50 # 1-34 all and #36 1. x + 6 = 13
3. t – 2 = 56
4. 6 =
Homework- Page 50 # 1-34 all and #36
x = 7
n = 6
t = 58 z 6
z = 36

2. An inequality compares two quantities and typically uses one of these symbols:
<
is less than
is greater than  
is less than or equal to
is greater than or equal to

3. The inequality symbol opens to the side with the greater number.
2 < 10
Remember!

4. Example 1- I Do
Compare. Write < or >.
A. 23 –
>
B. 5(12)
<

5. Example 2- You Do
Compare. Write < or >.
A. 19 –
<
B. 4(15)
>

6. Write the inequality shown by each graph.
Example 3- I Do
Write the inequality shown by each graph.

7. Write the inequality shown by each graph.
Example 4- You Do
Write the inequality shown by each graph.
–3 –2 –
–3 –2 – –

8. Solve and graph the inequality.
Example 5- I Do
Solve and graph the inequality.
x  8
Use the Subtraction Property of Inequality:Subtract 2.5 from both sides.
–2.5
–2.5
x  5.5
According to the graph, 5.4 is a solution, since 5.4 < 5.5, and 6 should not be solution because 6 > 5.5.

9. Solve and graph the inequality.
Example 6 – You Do
Solve and graph the inequality.
w – 1 < 8
Use the Addition Property of Inequality: Add 1 to both sides.
w < 9 –

10. Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems

11. Lesson Quiz Compare. Use < or > to compare each inequality.
(2) –
Solve and graph each inequality.
3. k + 9 < 12
4. m – 4  2
5. A school bus can hold no more than 64 passengers. There are already 21 passengers on the bus. Write and solve an inequality to find how many more passengers the bus can hold.
>
>
k < 3
–5 –4–3–2–
m  6
–4 –3–2–
x + 21  64; x  43

12. Lesson Quiz for Student Response Systems
1. Identify the correct sign to compare.
(4)
A. >
B. <
C. ≥
D. ≤

13. Lesson Quiz for Student Response Systems
2. Identify the correct sign to compare.
19 –
A. >
B. <
C. ≤
D. ≥

14. Lesson Quiz for Student Response Systems
3. Solve and graph the inequality.
x + 7 < 10
A. x < 3
B. x < 4

15. Lesson Quiz for Student Response Systems
4. Solve and graph the inequality.
4 ≤ a 2
A. 8 ≤ a
B. 6 ≤ a

16. Lesson Quiz for Student Response Systems
5. An egg tray can hold 4 dozen eggs. Two friends have 24 eggs each. They would like to put all the eggs in the tray. Write and solve an inequality to determine whether all the eggs will fit in the tray.
A. 2(24) ≤ 4; no
B. 2(24) ≤ 48; yes
C. 2(48) ≤ 24; yes
D. 2(24) ≤ 24; no

17. Solve and graph each inequality.
Check It Out: Example 2
Solve and graph each inequality.
A. x + 2  3.5
Use the Subtraction Property of Inequality: Subtract 2 from both sides. –2 –2
x  1.5
B. 6u > 72
Use the Division Property of Inequality: Divide both sides by 6.
6u > 72 6 6
u > 12