Math 152A
In-class
Handout
Section 2.5-2.6
Linear Inequalities
 
 
 
Interval
Notation:  Assume a and b are real numbers
and a<b.
 
 
 
 
| 
   Set
  Notation  | 
  
   Graph  | 
  
   Interval
  Notation  | 
 
| 
   
  | 
  
      | 
  
      | 
 
| 
   
  | 
  
      | 
  
      | 
 
| 
   
  | 
  
      | 
  
      | 
 
| 
   
  | 
  
      | 
  
      | 
 
| 
   
  | 
  
      | 
  
      | 
 
| 
   
  | 
  
      | 
  
      | 
 
| 
   
  | 
  
      | 
  
      | 
 
| 
   
  | 
  
      | 
  
      | 
 
 
 
 
 
 
 
 
 
 
Multiplication property of INEQUALITY
 
 
 
 
 
 
Steps to solve an INEQUALITY
1.
 
2.
 
3.
 
4.
 
5.
 
 
 
 
Connective word “and”
 
 
 
 
Connective word “or”
 
 
 
 
Steps to solve a compound inequality
 
1.
 
 
2.
 
 
3.