Name __________________________________
Unit II-Part III: Solving Inequalities and Absolute Value Equations
Learning Target #2 – Solving Inequalities Using Addition or Subtraction
HAVE HIGHLIGHTERS READY TO USE FOR THESE NOTES.
Equivalent inequalities –
Addition Property of Inequality
In other words, if you add the same thing to both sides of an inequality, then the symbol _________.
Choose one: a) stays the same
b) reverses
Be sure to ask if you do not understand the key concept presented in the box above.
Problem 1: Using the Addition Property of Inequality (Show all steps and keep your work neat please.)
What are the solution to x 15  12 ? Graph the solutions.
Goal: get the variable by itself on one side of the inequality
Be sure to review from Target #1 notes how to know whether to use an open dot or closed dot when graphing.
Your Turn Problem 1 (The video teacher will NOT work the your turn problems out for you. Get help from
the classroom teacher if you have questions. This problem must be complete before moving on.)
What are the solutions of n  5  3 ? Graph the solutions.
Problem 2: Solving an Inequality and Checking Solutions
What are the solutions to 10  x  3 ? Graph and check the solutions.
Side Note: Notice the variable
is on the right instead of left.
What is a different way to write 5 ≤ 𝑛? (with the variable on the left) ____________________________
REMEMBER: Your goal is to get the variable by itself.
Your Turn Problem 2
What are the solutions to m 11  2 ? Graph and check the solutions.
Subtraction Property of Inequality
In other words, if you subtract the same thing from both sides of an inequality, then the symbol _________.
Choose one: a) stays the same
b) reverses
Problem 3: Using the Subtraction Property of Inequality (Show all steps and keep your work neat please.)
What are the solutions to t  6  4 ? Graph the solutions.
Your Turn Problem 3
What are the solutions to 1  y  12 ? Graph the solutions.
Problem 4: Writing and Solving an Inequality (Use highlighters)
The hard drive on your computer has a capacity of 120 gigabytes (GB). You have used 85 GB. You want to
save some home videos on your hard drive. What are the possible sizes of the home video collection you can
save?
1st: Define the variable
_________________________________________________
2nd: Write the inequality.
3rd: Solve the inequality.
4th: Write a sentence stating your answer. _______________________________________________________
_______________________________________________________
Your Turn Problem 4 Ask for help if needed. Complete all four steps.
A club has a goal to sell at least 25 plants for a fundraiser. Club members sell 8 plants on Wednesday and 9
plants on Thursday. What are the possible numbers of plants the club can sell on Friday to meet their goal?
1st: Define the variable
_________________________________________________
2nd: Write the inequality.
3rd: Solve the inequality.
4th: Write a sentence stating your answer. _______________________________________________________
_______________________________________________________
Summary (from page 174 #2, 4, 5)
1. Solve and Graph the following inequalities:
(a) 8  d  2
(b) 4  c  7
2. A cyclist takes her bicycle on a chairlift to the top of a slope. The chairlift can safely carry 680 lb. The
cyclist weights 124 lb and the bicycle weighs 32 lb. What are the possible additional weights the chairlift can
safely carry?
1st: Define the variable
_________________________________________________
2nd: Write the inequality.
3rd: Solve the inequality.
4th: Write a sentence stating your answer. _______________________________________________________
_______________________________________________________
Take these notes and your check off sheets to your teacher. Then, do your
task. Do your work in the order listed on the check sheet.