Chapter 11, Problem 36CLR

To determine

To find: The solution of given inequality.

Answer to Problem 36CLR

The solution of given inequality is $y>5,y<-1$ .

Explanation of Solution

Given information:

The inequality is $4\left|y-2\right|>12$ .

Calculation:

Consider the inequality.

  $\begin{array}{l}4\left|y-2\right|>12\\ \frac{4}{4}\left|y-2\right|>\frac{12}{4}\\ \left|y-2\right|>3\\ y-2>3\\ y>5\\ y-2>-3\\ y<-1\end{array}$