Answer
no solution
Work Step by Step
Using the properties of inequality, the given expression, $
8+|x|\lt1
,$ is equivalent to
\begin{array}{l}\require{cancel}
|x|\lt1-8
\\\\
|x|\lt-7
.\end{array}
The left side of the inequality above always gives a non-negative value. This will never be less than the negative value at the right. Hence, there is $\text{
no solution
.}$
