Lesson 4.1a Inequalites and Their Graphs.notebook
October 30, 2012
Warm­Up
Fill in the Blank
with <, =, or > ­5
­8
­4
­2
­3
­1
0
1
2
3
4
5
­6
­9+7
4+3
9­12
­9+6
Some Background Info:
An equation uses what symbol???
An inequality will use these symbols:
< means ­­­_____________
> means _____________
≤
means ______________________
≥ means _____________________
Lesson 4.1a Inequalites and Their Graphs.notebook
October 30, 2012
Write how you would say these expressions in words:
x < 5 x
is less than 5
x > ­11 x
is greater than -11
x ≥ 6 x
is greater than or equal to 6
x ≤ 0 x
is less than or equal to 0
Inequalities Is it a solution for x < 5?
­5
6
0
­2
5.5
­4
­3
­2
­1
0
1
2
3
4
5
Lesson 4.1a Inequalites and Their Graphs.notebook
October 30, 2012
Inequalities Is it a solution for x > ­2?
6
0
­4
­2.5
­5
­4
­2
­3
­1
2
1
0
5
4
3
Graphing Inequalities
x < 5
­5
­1
­2
­3
­4
1
0
2
3
5
4
x < 5
­5
­4
­3
­2
­1
0
1
2
3
4
5
Lesson 4.1a Inequalites and Their Graphs.notebook
October 30, 2012
Graphing Inequalities
x > ­1
­5
­1
­2
­3
­4
1
0
2
3
5
4
x > ­1
­5
­3
­4
­2
­1
1
0
2
3
5
4
Graphing Inequalities
x > ­3.5
­5
­4
­3
­2
­1
0
1
2
3
4
5
Lesson 4.1a Inequalites and Their Graphs.notebook
October 30, 2012
Graphing Inequalities
x < ­2.75
­5
­4
­3
­2
­1
0
1
2
3
4
5
Graphing Inequalities
10 > x
3
­5
­4
­3
­2
­1
0
1
2
3
4
5
Lesson 4.1a Inequalites and Their Graphs.notebook
October 30, 2012
Graphing Inequalities
19/4 < x
­5
Graph: Open circle
0
6
Graph: Closed circle
­4
­2
­3
­1
Example:
x < 6
2
3
6 > x
­2 < x
"x is greater than "x is less than six" negative two"
Example:
3 ≥ x 5
x > ­2
or
Example:
4
Graph:Open circle
or
or
3
1
Example:
x ≤ 3
0
0
0
­2
Graph: Closed circle
x ≥ 1
or
1 ≤ x
"x is less than or "x is greater than equal to three"
or equal to one"
0
1