Answer
$x=-4$ causes the numerator to be 0, which makes the left side of the inequality $0$, resulting to a true statement $0 \ge 0$.
Work Step by Step
$x=-4$ must be a solution to $|\frac{x+4}{2x+1}|\geq0$ because it would cause the numerator to be zero, ensuing that the inequality will hold true ($\geq0$).
