Chapter 3.7, Problem 9P

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

$1=|g+3|$

To determine

To solve: $1=\left|g+3\right|$

Answer to Problem 9P

The solution is $g=-2,-4$

Explanation of Solution

Given information: $1=\left|g+3\right|$

Calculation:

  $\begin{array}{l}1=\left|g+3\right|\\ \Rightarrow \left|g+3\right|=1\end{array}$

The equation can be written as,

  $\begin{array}{l}g+3=1\\ \Rightarrow g=1-3\\ \Rightarrow g=-2\end{array}$ or $\begin{array}{l}g+3=-1\\ \Rightarrow g=-1-3\\ \Rightarrow g=-4\end{array}$

Thus, the solution is $g=-2,-4$