So to solve for a variable, we must isolate it onto 1 side of the inequality. In this case, we must isolate r. Firstly, add 80 to both sides of the inequality:
[tex]-rt>110[/tex]
Next, divide both sides by t:
[tex]-r>\frac{110}{t}[/tex]
Next, multiply both sides by -1. Since we are multiplying by a negative number, flip the inequality symbol as well:
[tex]r<-\frac{110}{t}[/tex]
In short, your final answer is [tex]r<-\frac{110}{t}[/tex]