1. Solving Multistep Inequalities
Algebra 1
Book Section 5.3
Essential Question:
How can I apply the rules for solving equations to help me solve and graph inequalities?

2. INEQUALITIES Less Than Greater
The relationship between two expressions that are NOT necessarily equal.
Less
Than
Under
Fewer
Greater
More Than
Is Over
Exceeds
Or Equal To
At Most
Is No More Than
Does Not Exceed
At Least
Is Not Under
Has a Minimum Value

3. Quick Check: review
Which inequality represents one half of Dan’s savings is less than $60.00? A. B. C. D.

4. Mathematical Practices 7 Look for and make use of structure.
Content Standards
A.CED.1 Create equations and inequalities in one variable and use them to solve problems.
A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Mathematical Practices
7 Look for and make use of structure.
Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

5. 1A. Cornell Notes Write a Multi-Step Inequality
FAXES Adriana has a budget of $115 for faxes. The fax service she uses charges $25 to activate an account and $0.08 per page to send faxes.
Write an Inequality to represent how many pages can Adriana fax and stay within her budget?

6. 1B. Cornell Notes
Rob and Steve are taking pictures for the basketball team. Rob sells each photo for $8 while Steve sells his for $11 each. Together they want to make at least $154.
Write an inequality to determine the number of pictures Rob must sell r and number of pictures Steve must sell 𝑠.

7. 2A. Cornell notes Remember:
Inequality Involving a Negative Coefficient
Solve 13 – 11d ≥ 79.
Remember:
When multiplying or dividing by a negative number, we MUST flip the inequality!

8. 3A. Cornell notes What to do: Solve Inequality Solve and Graph
Distributive Property
3A. Cornell notes
What to do:
Solve Inequality
Plot Circle on # Line
Open Circle < >
Closed Circle ≤≥
Draw Arrow from circle to represent solutions
Solve and Graph
6c + 3 ≥ –2c + 11

9. When you reach a false statement…your solution is the empty set!
4A. Cornell notes
Empty Set
Solve
7(s + 4) ≥ 7(s + 1)
Remember:
When you reach a false statement…your solution is the empty set!

10. 4b. Cornell notes Remember:
All Reals
Solve
2(4r + 3)  8r + 6.
Remember:
When you get the same expression on both sides, this means that any value you plug in with satisfy the inequality...ALL REAL SOLUTIONS!

11. COMPLETE AND HAND IN EXIT SLIP
Jack and Dana want to sell tickets for a fundraiser. Jack’s tickets cost $12, and Dana’s tickets cost $26. Jack and Dana want to sell at least $150 in tickets total. Write an inequality to determine the number of tickets Jack must sell 𝑗 and number of tickets Dana must sell 𝑑.
When done…
Write Cornell Notes Summary
Homework – Page 300 #’s 1, 3