Law of Trichotomy Applied to Absolute Value Inequalities in One Variable Part I

Share Cognitive Science Implications for Teaching Mathematics
  •  
  •  
  •  
  •  
  •  
  •  

For the sake of simplicity, the following discussion of absolute value equations and inequalities will be restricted to absolute values of linear expressions. Much of this essay is true more generally, but this current discussion is explicitly for Intermediate and College Algebra classes. Extensions can easily be made in other courses when necessary. Recall that

Important Notes About Polynomial Inequalities

Share Cognitive Science Implications for Teaching Mathematics
  •  
  •  
  •  
  •  
  •  
  •  

As a first step when working with polynomial inequalities one should write the inequality in the form Writing a polynomial inequality in the desired form may be done using the three familiar, fundamental, elementary properties of inequalities. If any expression is added to both sides of an inequality the resulting inequality is equivalent to the