# Translate each word phrase. 3.1 Inequalities and Their Graphs Objective:  Symbol

```3.1H Inequalities and Their Graphs.notebook
November 16, 2015
3.1 Inequalities and Their Graphs
Objective: Be able to write, graph and identify solutions of inequalities
Symbol
Words
Graph
Sep 29&shy;11:28 AM
Translate each word phrase.
1. All real numbers greater than or equal to 1.5
2. The sum of t and 7 is less than -3
3. All real numbers that are less than or equal to 5.
4. 4 less than a number y is greater than 10.
Sep 29&shy;11:34 AM
1
3.1H Inequalities and Their Graphs.notebook
November 16, 2015
A solution to an inequality is any number that makes the
inequality true.
Consider the numbers &shy;1, 0, 1, 3. Which are solutions to the inequality:
Sep 29&shy;11:36 AM
Check and see if each of the numbers are a solution to the inequality:
A.) 4
B.) &shy;3
Sep 29&shy;11:41 AM
2
3.1H Inequalities and Their Graphs.notebook
November 16, 2015
To graph the solution to an inequality use a number&shy;line. Shade all numbers that make the inequality true.
What is the graph for each inequality:
&shy;10
&shy;10
&shy;9
&shy;9
&shy;8 &shy;7
&shy;8 &shy;7
&shy;10
&shy;9
&shy;6
&shy;6
&shy;5 &shy;4
&shy;5 &shy;4
&shy;8 &shy;7
&shy;6
&shy;2
&shy;3
&shy;3
&shy;2
&shy;5 &shy;4
&shy;1
&shy;1
&shy;3
0
0
&shy;2
1
2
1
&shy;1
2
0
3
3
1
4
4
2
5
5
3
6
6
4
7
7
5
8
8
6
9
9
7
10
10
8
9
10
Sep 29&shy;11:44 AM
What inequality represents each Graph?
Sep 29&shy;11:46 AM
3
3.1H Inequalities and Their Graphs.notebook
November 16, 2015
Homework:
pg. 168-169
#'s 9-33 odd, 43-53 odd
Sep 29&shy;11:50 AM
4
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