-5/6x-2>-1
isolate the variable
add 2 to both sides
-5/6x>1
multiply both sides by 6/5 to clear fraction
-x>6/5
multiply -1 and remember when multiply by -, > switches to <
x<-6/5
so that's the answer, x<-6/5 or x<-1 and 1/5 or x<-1.2, put x<-6/5 as answer
S={x|x<-6/5}