Question 4

Using the ordering axioms for the reals, or relevant theorems on ordering properties of the reals, solve the following inequalities.
For each, write your solution as a union of intervals.
Also, for each solution, discuss, with proof, whether or not your solution can be written as a union of open intervals.

• $\vert x^2 - 7x + 2\vert < 10$
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
• $${\sqrt{\frac{3x- 2}{x - 2}} > 1 }$$