According to the given inequality, we can conclude that:
[tex]4x-6>10;4x-6<-10[/tex]
This is concluded from the absolute value inequality, that follows the applyied property.
Solve each of the stated inequalities:
[tex]\begin{gathered} 4x-6>10 \\ 4x>16 \\ x>\frac{16}{4} \\ x>4 \\ 4x-6<-10 \\ 4x<-4 \\ x<-\frac{4}{4} \\ x<-1 \end{gathered}[/tex]
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.
