Question

Solve each inequality

Answer 1

5. x < - 1/4

6. r ≤ - 0.9

7. b < - 0.5

8. a ≤ 35

Explanation:

`5.\\-(x)/(5)>(1)/(20)\qquad\text{multiply both sides by 5}\\\\-x>(1)/(4)\qquad\text{change the signs}\\\\\boxed{x<-(1)/(4)}\\\\6.\\0.9\leq-r\qquad\text{change the signs}\\\\-0.9\geq r\to\boxed{r\leq-0.9}`

`7.\\-2b>3\qquad\text{change the signs}\\\\2b<-3\qquad\text{divide both sides by 2}\\\\\boxed{b<-0.5}\\\\8.\\-(a)/(0.5)\geq-70\qquad\text{multiply both sides by 0.5}\\\\-a\geq-35\qquad\text{change the signs}\\\\\boxed{a\leq35}`