Answer
$(-\infty,\infty)$
Work Step by Step
We are given the function:
$f(x)=|x+5|$
Graph the function.
The solution of the inequality $f(x)\geq 0$ consists of the values of $x$ for which the graph of the function is above the $x$-axis.
Determine the zeroes of the function:
$|x+1|=0\Rightarrow x+1=0\Rightarrow x=-1$
The solution of the inequality is:
$(-\infty,\infty)$
