1. Solving Inequalities (3-2)
Adding/Subtracting

2. x ˃ 3 *So ALL numbers greater that 3 will satisfy the inequality
Ex 1) What are the solutions of x – 15 ˃ -12? *Solve for x using inverse
operations
x – 15 ˃ -12 *Add 15 to both sides
x ˃ 3 *So ALL numbers greater that 3 will satisfy the
inequality
Now graph the solution on a number line
Check your solution by choosing a number from the graph
5 – 15 ˃ -12
-10 ˃ -12 true

3. t + 6 ≤ 4 *Solve for t by using inverse operations
t ≤ -2
Graph the solution
Check your solution by choosing a number from the graph.
Can we use -2 for the check?
≤ 4
4 ≤ 4 true
You try:
p – 4 ˂ 1 8 ≥ d – 2 y + 5 ˂ c ˃ 7

4. Writing and Solving an Inequality
A hard drive has 120 GB
You have used 85 GB
What are the possible sizes of some home video you want to save?
1st: Define your variable v is the size of the home video
2nd: Set up the inequality
v + 85 ≤ 120 *Solve for v
v ≤ 35
So the home video can be any size less than or equal to 35GB

5. You Try:
Your goal is to walk at least 10,000 steps per day
You have walked 5274 steps
Write and solve an inequality to find the possible # of steps you need to take to reach your goal.
You earn $250 per month
You are in a club that costs $20 per month
You save at least $100 per month
Write and solve an inequality to find the possible amounts you have left to spend each month.