my paper
1.6
Solve Linear Inequalities p Solve linear inequalities.
Goal
Your Notes
VOCABULARY
Linear inequality
Compound inequality
Equivalent inequalities
Graph simple inequalities
Example 1
a. Graph x ≤ 4.
b. Graph x > 22.
Solution
a. The solutions are all real numbers or 4.
A
dot is used in the graph to indicate 4 is a solution. 22
21
0
1
2
3
4
5
6
b. The solutions are all real numbers
22.
An dot is used in the graph to indicate 22 is not a solution.
24
23
22
21
0
1
2
3
4
Checkpoint Graph the inequality.
1. x ≤ 21
24
18
Lesson 1.6 • Algebra 2 Notetaking Guide
22
2. x > 23
0
2
4
24
22
0
2
4
Copyright © Holt McDougal. All rights reserved.
1.6
Solve Linear Inequalities p Solve linear inequalities.
Goal
Your Notes
VOCABULARY
Linear inequality A linear inequality in one variable can be written in one of the following forms, where a and b are real numbers and a Þ 0: ax 1 b < 0, ax 1 b > 0, ax 1 b ≤ 0, ax 1 b ≥ 0.
Compound inequality Consists of two simple inequalities joined by "and" or "or"
Equivalent inequalities Inequalities that have the same solutions as the original inequality
Graph simple inequalities
Example 1
a. Graph x ≤ 4.
b. Graph x > 22.
Solution
a. The solutions are all real numbers less than or equal to 4.
A closed dot is used in the graph to indicate 4 is a solution. 22
21
0
1
2
3
4
5
6
b. The solutions are all real numbers greater than 22.
An open dot is used in the graph to indicate 22 is not a solution.
24
23
22
21
0
1
2
3
4
Checkpoint Graph the inequality.
1. x ≤ 21
24
18
Lesson 1.6 • Algebra 2 Notetaking Guide
22
2. x > 23
0
2
4
24
22
0
2
4
Copyright © Holt McDougal. All rights reserved.
Your Notes
Graph compound inequalities
Example 2
a. Graph 23 < x < 1.
b.
Solve Linear Inequalities p Solve linear inequalities.
Goal
Your Notes
VOCABULARY
Linear inequality
Compound inequality
Equivalent inequalities
Graph simple inequalities
Example 1
a. Graph x ≤ 4.
b. Graph x > 22.
Solution
a. The solutions are all real numbers or 4.
A
dot is used in the graph to indicate 4 is a solution. 22
21
0
1
2
3
4
5
6
b. The solutions are all real numbers
22.
An dot is used in the graph to indicate 22 is not a solution.
24
23
22
21
0
1
2
3
4
Checkpoint Graph the inequality.
1. x ≤ 21
24
18
Lesson 1.6 • Algebra 2 Notetaking Guide
22
2. x > 23
0
2
4
24
22
0
2
4
Copyright © Holt McDougal. All rights reserved.
1.6
Solve Linear Inequalities p Solve linear inequalities.
Goal
Your Notes
VOCABULARY
Linear inequality A linear inequality in one variable can be written in one of the following forms, where a and b are real numbers and a Þ 0: ax 1 b < 0, ax 1 b > 0, ax 1 b ≤ 0, ax 1 b ≥ 0.
Compound inequality Consists of two simple inequalities joined by "and" or "or"
Equivalent inequalities Inequalities that have the same solutions as the original inequality
Graph simple inequalities
Example 1
a. Graph x ≤ 4.
b. Graph x > 22.
Solution
a. The solutions are all real numbers less than or equal to 4.
A closed dot is used in the graph to indicate 4 is a solution. 22
21
0
1
2
3
4
5
6
b. The solutions are all real numbers greater than 22.
An open dot is used in the graph to indicate 22 is not a solution.
24
23
22
21
0
1
2
3
4
Checkpoint Graph the inequality.
1. x ≤ 21
24
18
Lesson 1.6 • Algebra 2 Notetaking Guide
22
2. x > 23
0
2
4
24
22
0
2
4
Copyright © Holt McDougal. All rights reserved.
Your Notes
Graph compound inequalities
Example 2
a. Graph 23 < x < 1.
b.