3.1E Inequalities and Their Graphs.notebook
November 13, 2015
3.1 Inequalities and Their Graphs
Objective: Be able to write, graph and identify solutions of inequalities
Symbol
Words
Graph
Sep 29­11:28 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 29­11:34 AM
1
3.1E Inequalities and Their Graphs.notebook
November 13, 2015
A solution to an inequality is any number that makes the
inequality true.
Consider the numbers ­1, 0, 1, 3. Which are solutions to the inequality:
Sep 29­11:36 AM
Check and see if each of the numbers are a solution to the inequality:
A.) 4
B.) ­3
Sep 29­11:41 AM
2
3.1E Inequalities and Their Graphs.notebook
November 13, 2015
To graph the solution to an inequality use a number­line. Shade all numbers that make the inequality true.
What is the graph for each inequality:
­10
­10
­9
­9
­8 ­7
­8 ­7
­10
­9
­6
­6
­5 ­4
­5 ­4
­8 ­7
­6
­2
­3
­3
­2
­5 ­4
­1
­1
­3
0
0
­2
1
2
1
­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 29­11:44 AM
What inequality represents each Graph?
Sep 29­11:46 AM
3
3.1E Inequalities and Their Graphs.notebook
November 13, 2015
Homework:
Practice 3.1
Evens only
Sep 29­11:50 AM
4