Solve the inequality - 5/6x - 2>-1

-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<-6/5