Answer:
5. x < - 1/4
6. r ≤ - 0.9
7. b < - 0.5
8. a ≤ 35
Step-by-step explanation:
[tex]5.\\-\dfrac{x}{5}>\dfrac{1}{20}\qquad\text{multiply both sides by 5}\\\\-x>\dfrac{1}{4}\qquad\text{change the signs}\\\\\boxed{x<-\dfrac{1}{4}}\\\\6.\\0.9\leq-r\qquad\text{change the signs}\\\\-0.9\geq r\to\boxed{r\leq-0.9}[/tex]
[tex]7.\\-2b>3\qquad\text{change the signs}\\\\2b<-3\qquad\text{divide both sides by 2}\\\\\boxed{b<-0.5}\\\\8.\\-\dfrac{a}{0.5}\geq-70\qquad\text{multiply both sides by 0.5}\\\\-a\geq-35\qquad\text{change the signs}\\\\\boxed{a\leq35}[/tex]
