Chapter 3.7, Problem 31P

Solve each equation or inequality. If there is no solution, write no solution.

$\frac{\left|y\right|}{4}<3$

To determine

To solve: given inequality.

Answer to Problem 31P

The solution for the given inequality is $-12<y<12$ .

Explanation of Solution

Given information:

Given inequality

  $\frac{\left|y\right|}{4}<3$

Calculation:

Given inequality

  $\frac{\left|y\right|}{4}<3$

Now, solve the above inequality as shown,

  $\begin{array}{c}\frac{\left|y\right|}{4}<3\\ \left|y\right|<12\\ \pm y<12\\ -12<y<12\\ y\in \left(-12,12\right)\end{array}$