Question

Which of the followingrepresents this inequality?|4x – 6| > 10A? B? C? D? Or E?

Answer 1

According to the given inequality, we can conclude that:

`4x-6>10;4x-6<-10`

This is concluded from the absolute value inequality, that follows the applyied property.

Solve each of the stated inequalities:

`\begin{gathered} 4x-6>10 \\ 4x>16 \\ x>(16)/(4) \\ x>4 \\ 4x-6<-10 \\ 4x<-4 \\ x<-(4)/(4) \\ x<-1 \end{gathered}`

According to these answers, x has to be greater than 4 or less than -1. The answer that represents the given inequality is the one in choice d.