5 4 Compound Inequalities Again Goals Write compound

5 -4 Compound Inequalities Again! Goals: • Write compound inequalities. • Model a real-life situation with a compound inequality. Eligible Content: • A 1. 1. 3. 1. 1 / A 1. 1. 3. 1. 2 / A 1. 1. 3

Examples Write and graph each compound inequality. 1. x is greater than or equal to 6 and less than 12. 6 ≤ x < 12 2. x is less than -4 or is greater than 6. 3. x is less than 8 and is greater than 7. 4. x is less than 7 and is at least 0. 5. x is greater than 5 or is less than or equal to 3. x < -4 OR x > 6 7<x<8 0≤x<7 x > 5 OR x ≤ 3

Practice Write and graph each compound inequality. 1. x is greater than 4 or less than 2. 2. x is greater than -2 and less than 5. 3. x is less than 6 or greater than or equal to 10. 4. x is at least 5 and less than 8. 5. x is between 2 and 8.

Word Problem #1 In a certain restricted air space, airplanes must fly below 10, 000 feet or above 15, 000 feet. Write and graph a compound inequality that models this situation. x < 10, 000 OR x > 15, 000

Word Problem #2 The high temperature on a certain day was 98°F and the low was 78°F. Write a compound inequality that models the range in temperatures. 78 ≤ x ≤ 98

Word Problem #3 On a road in the city of Rochester, the maximum speed is 65 miles per hour and the minimum speed is 30 miles per hour. Write a compound inequality that models this situation. 30 ≤ x ≤ 65

Word Problem #4 Junior tickets to an event are available to teenagers below age eighteen at reduced rates. Write an inequality that models this situation. 13 ≤ x < 18

Word Problem #5 The highest temperature in the US for each month are shown in the table. Write a compound inequality that represents the range of record high temperatures. 98 ≤ x ≤ 134 Month Temperature January 98°F February 105°F March 108°F April 118°F May 124°F June 129°F July 134°F August 127°F September 126°F October 116°F November 105°F December 100°F

A professional hockey arena has seats available in the Lower Bowl level that cost at most $65 per seat. The arena also has seats available at the Club Level and above that cost at least $80 per seat. Write and graph a compound inequality that describes the amount a spectator would pay for a seat at the hockey game. A. c ≤ 65 or c ≥ 80 B. c ≥ 65 or c ≤ 80 C. c ≥ 65 or c ≥ 80 D. c ≤ 65 or c ≤ 80

Practice Worksheet – “ 5 -4 Compound Inequalities”

One last example The sum of 2 times a number and 5 is greater than 7 and less than 17. 7 < 2 x + 5 < 17 1< x < 6

Homework Page 309 #16, 29 -33, 35