1.3 Graphing Inequalities and Interval Notation Notes…..
#3&#4 on Unit 1 Learning Goals paper:
Can I graph and write a solution set in interval notation? Can I identify/graph a linear inequality?)
What is an Inequality?

Give an example of an inequality used in the world outside of math class. (Use words.)

Give an example of a mathematically written inequality.
Inequalities can be written using different formats:
1. Set Notation
{3}…………………………………….{x x is 3}
3. Graph
1
2
3
4
5
{- 3, -2, -1, 0, 1, 2, 3}..{x|x is an integer between negative 3 and three inclusive}
-4 -3 -2 -1 0 1 2 3 4
…………………………..{x|x
3 4 5 6 7 8 9 10
2. Interval Notation
OR
Set
Notation:
1<x<2
1≤x<2
1≤x≤2
X>1
X≥1
X<2
X≤2
X€R
Try these…Given a piece of information…fill in the missing section:
Graph
Set Notation
Interval Notation
(4,
{x|x
[-5, 2)
Solve these inequalities:
#1
Inequality:
Graph of
Solution:
Set
Notation:
Interval
Notation:
2x < 14
#2
24
-3x + 9
#3
x–1
3