-5>4-9x
As a first step, simplify both sides of the inequality:
-5>-9x+4
Then, you can flip the equation:
-9x+4<-5
Now, you have to subtract 4 from both sides of the inequality
-9x+4-4<-5-4
-9x<-9
As a final step, divide both sides by -9:
-9x/-9<-9/-9
x>1
