Shaded area is everything above the line but not including the line
 line equation is  y = 1/2x - 1/2
  
 answer   y > 1/2x - 1/2     <======== you have this listed as incorrect answer....but it IS correct !   You just need to complet the work to get it in the correct form....don't be a lazy person just looking for the answer !
  
 y > 1/2x - 1/2
 0 > 1/2x - 1/2 - y     multiply by 2
 0 > x - 1 - 2y
   or        x - 2y -1 < 0 
  
 Here is a desmos graph:
  
 https://www.desmos.com/calculator/acwb5p136t