1. Section 7.5 Solving Two-Step Inequalities
Algebra Concepts
Section 7.5
Solving Two-Step Inequalities

2. Solving an inequality is similar to solving an equation.
“Undo” using reverse order of operations
What you do to one side, you must do to the other
“Do something, do something”
Write a new inequality
Repeat….

3. When you multiply or divide by a negative number, circle the inequality sign and change it on the next line.

4. Next step?

7. Solve and graph solution on a number line.
#1 6+2𝑥≥18 #2 3−4𝑥<15 #3 20>5𝑥−5 #4 𝑥 5 +10≤37 #5 12<2(𝑥−3)

8. #1 6+2𝑥≥18

9. 3−4𝑥<15

10. #3 20>5𝑥−5

11. #4 𝑥 5 +10≤37

12. #5 12<2(𝑥−3)

13. Word problems When you solve an inequality, always use “number sense.”
If you had a problem about people (x) and your answer was 𝑥≥4.6 𝑝𝑒𝑜𝑝𝑙𝑒, how would you answer the question?

14. You can’t have part of a person. So 𝑥≥4.6 𝑝𝑒𝑜𝑝𝑙𝑒 would mean
5 or more people

15. A church group is chartering “Lolly the Trolley” to see the famous sights in Cleveland. The cost for the charter is $450 plus the driver will be given a $20 tip. If the cost is $25 per person, what is minimum number of people that must go on the trip to cover the cost of the trolley ride?

16. Let x= # of people
25𝑥≥
25𝑥≥470
Divide both sides by 25
𝑥≥18.8
There must be a minimum of 19 people sign up for the trip.