1. Inequalities and Graphs (3-1)

2. Vocabulary
Inequality- a mathematical sentence that uses an inequality symbol (˂, ˃, ≤, ≥) to compare the values of two expressions
Solution of an inequality- any number that makes the inequality true
Ex) 2x + 1 ˃ Is -1 a solution? Plug it in and check
2(-1) + 1 ˃ -3
˃ -3
-1 ˃ This is true so -1 is a solution to this inequality
*Are there any other solutions?

3. Writing Inequalities Translating:
All real numbers less than 7 *Define a variable
x represents all real numbers so: x ˂ 7
6 less than a number k is greater than or equal to 13
k – 6 ≥ 13

4. Graphing an inequality
Solution: x ˂ -3 *What does x represent in words?
All the number that are less than -3
Graph:
You try:
a ≥ 0 f ≤ ˂ n

5. Writing an inequality from a graph
(use examples pg. 166 and draw in on white board)

6. Real world examples Trail Rides starting at $19.99
You must be 18 to vote
You must be at least 48 inches to ride the coaster
No more than 8 ft. ceilings