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

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

Key Concept

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. + 8 + 8 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

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

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

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

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

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

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. 5.5 + n ≥ 14; at least 8.5 times B. 5.5 + 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