# Warm­Up Fill in the Blank with &lt;, =, or &gt;   ­6

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