2.2C   Solve a Poly Inequality

Solve a Polynomial Inequality 

  You are asked to find the points that will make the inequality true.

 Note:

     If you didn't view the "Behavior of f(x)" slide presentation in Lesson 2.2B, view it. Listen to the audio presentation: 

Unlike solving a polynomial equation, which involves finding the value(s) of x (zeros), solving a polynomial inequality requires finding the intervals where the values of x will make the inequality true.   

*** The solution set will include intervals rather than just points.***

 Before you begin, always look at the inequality sign.

     ~  If it is greater than or equal to, ≥,  then find positive regions between and include the function's zeros. The intervals would be included in brackets. [ ]

     ~  If it is greater than, >,  then find positive regions between, but not including the function's zeros. The intervals would be included within parentheses.  ( )

     ~  If it is less than or equal to,  ≤, then find the negative regions between and including the function's zeros. The intervals would be included within brackets [ ]

   ~  If it is less than, <,  then find the negative regions between, but not including the function's zeros. The intervals would be included within parentheses. ( )

Stated:  The inclusion of the zeros will be recorded only if the inequality has an equal sign included with the inequality greater than/less than.