1. Solve inequalities by using the Addition or Subtraction Properties of Inequality.
Main Idea/Vocabulary

2. KC 1

3. Solve –21 ≥ d – 8. Check your solution.
Solving Inequalities
Solve –21 ≥ d – 8. Check your solution.
–21 ≥ d – 8 Write the inequality.
– ≥ d – Add 8 to each side.
–13 ≥ d or d ≤ –13 Simplify.
Check
–21 ≥ d – 8 Write the inequality.
–21 ≥ –14 – 8 Replace d with a number less than or equal to –13, such as –14. ?
–21 ≥ –22 This statement is true. 
Answer: The solution is –13 ≥ d or d ≤ –13.
Example 1

4. Solve b – 12 > 4. A. b > 16 B. b > 8 C. b > –8
D. b > –16 A B C D
Example 1

5. Solve y + 5 > 11. Check your solution.
Solving Inequalities
Solve y + 5 > 11. Check your solution.
y + 5 > 11 Write the inequality.
y + 5 – 5 > 11 – 5 Subtract 5 from each side.
y > 6 Simplify.
Check Replace y in the original inequality with a number greater than 6.
Answer: The solution is y > 6.
Example 2

6. Solve 9 ≤ g + 13. Check your solution.
A. g ≤ 4
B. g ≥ 4
C. g ≤ –4
D. g ≥ –4 A B C D
Example 2

7. dollars spent on games and snacks
Kayta took $12 to the bowling alley. Shoe rental costs $3.75. What is the most he could spend on games and snacks?
Read the Item The phrase the most means less than or equal to.
Solve the Item Let d = dollars spent on games and snacks.
Estimate $12 – $4 = $8
Cost of shoe rental
plus
dollars spent on games and snacks
is less than or equal to
$12.
3.75 d 12
Example 3

8. 3.75 + d ≤ 12 Write the inequality.
3.75 – d ≤ 12 – 3.75 Subtract 3.75 from each side.
d ≤ 8.25 Simplify.
Check for Reasonableness $8.25 ≈ $8 
Answer: So, Kayta could spend no more than $8.25 on games and snacks.
Example 3

9. Monique took $20 to the bookstore. She spent $2
Monique took $20 to the bookstore. She spent $2.25 on a snack at the library café. What is the most she could spend on books?
A. $17.00
B. $17.70
C. $17.75
D. $18.75 A B C D
Example 3

10. (over Lesson 8-6)
Write an inequality for the sentence. A grade of no less than 90 is considered an "A."
A. g > 90
B. g ≥ 90
C. g < 90
D. g ≤ 90 A B C D
Five Minute Check 1

11. (over Lesson 8-6)
Write an inequality for the sentence. Children age 10 and under can order from the kids menu.
A. a ≥ 10
B. a > 10
C. a ≤ 10
D. a < 10 A B C D
Five Minute Check 2

12. (over Lesson 8-6)
For the given value, state whether the inequality is true or false. 8 + n > 12; n = 5
A. true
B. false A B
Five Minute Check 3

13. (over Lesson 8-6)
For the given value, state whether the inequality is true or false. y – 15 ≤ –7; y = 8
A. true
B. false A B
Five Minute Check 4

14. (over Lesson 8-6)
For the given value, state whether the inequality is true or false. –5x ≤ 40; x = –10
A. true
B. false A B
Five Minute Check 5

15. Which inequality is graphed on the number line?
(over Lesson 8-6)
Which inequality is graphed on the number line?
A. n > 5
B. n ≥ 5
C. n < 5
D. n ≤ 5 A B C D
Five Minute Check 6

16. End of Custom Shows