Question

Solve the graph the inequality |4r -2| >8

Answer 1

b.

Explanation:

`|4r-2|>8\iff4r-2>8\ \vee\ 4r-2<-8\qquad\text{add 2 to both sides}\\\\4r>10\ \vee\ 4r<-6\qquad\text{divide both sides by 4}\\\\r>(10)/(4)\ \vee\ r<(-6)/(4)\\\\r>(5)/(2)\ \vee\ r<-(3)/(2)\\\\r>2.5\ \vee\ r<-1.5`

<, > - open circle

≤, ≥ - closed circle

<, ≤ - line to the left

>, ≥ - line to the right