Think of the greater than sign as an equal sign,
-9x> 94 -202 -------> -9x>-108 ------> x= 12
for the second solution you must change the sign from > to < and change 94 to -94
-9x<-94-202 --------> -9x<-296 -------> x= 296/9
When you plug your answers it should make sense:
-9(12) + 202 >94
= 94>94
-9(296/9) + 202 <94
= -94<94