#### Answer

no solution

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
To solve the given inequality, $ |4.3x+9.8|\lt0 ,$ use the definition of absolute value to analyze the given inequality.
$\bf{\text{Solution Details:}}$ The absolute value of $x$, written as $|x|,$ is the distance of $x$ to $0,$ and hence, is always a nonnegative number. In the same reason, the left side of the given expression is always a nonnegative number. This will never be less than the expression at the right. Hence, there is $\text{ no solution .}$