Find the range of values of x for which 3x+4<x^2-6<9-2x.

Question

Find the range of values of x for which 3x+4<x^2-6<9-2x.

Answer 1

Suggestion: graph each of the three 'functions' in this 3-part inequality, and determine where the desired relationship exists.  

 

Or solve the system of inequalities, algebraically

3x+4<x^2-6 AND  x^2-6<9-2x