AFDA – Unit 1: Linear Functions Part 1
Day 2 Notes: One Variable Inequalities
Name: _________________
Block: _____ Date:_______
Today…
 You will review how to solve one variable inequalities
 You will review what to do when special cases arise
 You will review graphing one variable inequalities
 You will review interval notation
1.) Always _______________________ first!
2.) Move all ______________________ to the __________ __________.
3.) Undo _________________ and _________________ before
_____________________ and ____________________.
4.) _______________ the inequality symbol when multiplying or dividing
by a ___________________.
Sample Problems:
1. 2x – 3 > 5
2. 14x + 7 ≤ 7(x – 3)
Interval Notation
Another way to show the set of all numbers that would satisfy our inequality
is to use _____________________________. When using interval
notation, we use ______________________________ when you use an
___________ circle and _____________________________ when you
use a ___________________ circle.
3. 2 < x + 5 < 9
4. 3h + 1 < -5 or 2h – 5 > 7
You try:
5. 7 – 3x > 22
6.
– 1 ≤ -2t + 2 ≤ 4
7.
2 + 10x ≤ 14x – 20
8.
5 < 4x – 3 < 15
Special Cases:
9. 3(x + 2) < 3x + 6
10. x + 2 ≤ x + 4
11.
12.
4x + 12 > 4x + 9
-3x + 9 > -3(x + 3)
13. You are going on a field trip and need to choose where to go. The
zoo costs $100 plus $10 per student. The museum costs $250 plus $5 per
student. How many students need to go on the trip in order for the
museum to be a better deal?
14. Sam and Alex play on the same soccer team. Last Saturday, Alex
scored 3 more goals than sam, but together they scored less than 9 goals.
What are the possible number of goals Alex scored?