1. 5-3 Solving multi-step inequalities
Goals:
Solve multi-step linear inequalities.
Use linear inequalities to model real-life situations.
Eligible Content:
A / A

2. Remember the new rule!!
When you multiply or divide by a negative number, you must flip the inequality symbol!!!

3. Solve for x.
2x + 7 < x < x < 5

4. Examples 2y – 5 < 7 5x + 3 > 12 5 – x ≤ 4 -3x + 1 ≤ 22

5. Solve –8y + 3 > –5.
A. y < –1
B. y > 1
C. y > –1
D. y < 1

6. Practice
Complete worksheet – “Kiss Undercover”

7. Word Problem #1
You plan to publish an online newsletter. You do not want your monthly costs to exceed $2370. Your fixed monthly costs are $1200. You must also pay $130 per month to each article writer. How many writers can you afford to hire? 130x ≤ 2370 x ≤ 9 You can hire up to 9 writers.

8. Word problem #2
You have $25 to spend at a county fair. It costs $12 for a wristband to ride the rides and $3 to play each game. How many games can you play? 3x + 12 ≤ 25 x ≤ 4.33 You can play 4 games.

9. Word problem #3
Keith weighs 200 pounds. He wants to weigh less than 175 pounds. If he can lose 2 pounds per week on a certain diet, how long will it take to reach his goal? 200 – 2x < 175 x < 12.5 It will take 13 weeks.

10. Homework
Page 301 #12-20 even
#35, 36, 39, 40