2. Key Concept: Properties of Inequality Example 1: Solve Inequalities
Main Idea
Key Concept: Properties of Inequality
Example 1: Solve Inequalities
Example 2: Solve Inequalities
Example 3: Real-World Example
Lesson Menu

3. Solve and graph one-step inequalities by using the Addition or Subtraction Properties of Inequality.
Main Idea/Vocabulary

4. Key Concept

5. Solve –21 ≥ d – 8. Graph the solution set on a number line.
Solve Inequalities
Solve –21 ≥ d – 8. Graph the solution set on a number line.
–21 ≥ d – 8 Write the inequality.
Addition Property of Inequality.
–13 ≥ d Simplify.
Graph the solution set. Draw a closed dot at –13 with an arrow to the left.
Answer:
Example 1

6. Solve m + 16 < –5. Graph the solution set on a number line.
A. m < –21
B. m > –21
C. m > 11
D. m < 21
Example 1 CYP

7. Solve y + 5 > 11. Graph the solution set on a number line.
Solve Inequalities
Solve y + 5 > 11. Graph the solution set on a number line.
y + 5 > 11 Write the inequality.
– 5 – 5 Subtraction Property of Inequality.
y > 6 Simplify.
Graph the solution set. Draw an open dot at 6 with an arrow to the right.
Answer:
Example 2

8. Solve 9  p – 6. Graph the solution set on a number line.
B. p ≥ –3
C. p ≥ 3
D. p ≥ 15
Example 2 CYP

9. amount spent on shoe rental
BOWLING Katya took $12 to the bowling alley. Shoe rental costs $3.75. Write and solve an inequality to determine how much Katya could spend on games.
Estimate 12 – 4 = 8
Amount spent on games
amount spent on shoe rental
is less than or equal to
plus
$12. g +
3.75 ≤ 12
Example 3

10. g + 3.75 ≤ 12 Write the inequality.
– – 3.75 Subtraction Property of Inequality.
g ≤ Simplify.
Answer: The solution is g ≤ Katya could spend no more than $8.25 on games.
Check 8 ≈ 8.25 
Example 3

11. B. 5.5 + n ≤ 14; no more than 8.5 times
TRACK Olivia wants to jog around the school track at least 14 times. She has already jogged around the track 5.5 times. Write and solve an inequality to determine how many more times Olivia should jog around the track.
A n ≥ 14; at least 8.5 times
B n ≤ 14; no more than 8.5 times
C. n – 5.5 ≥ 14; at least 19.5 times
D. n – 5.5 ≤ 14; no more than 19.5 times
Example 3 CYP