## Intermediate Algebra (12th Edition)

The given inequality, $|10x+7|+3\lt1 ,$ is equivalent to \begin{array}{l}\require{cancel} |10x+7|\lt1-3 \\\\ |10x+7|\lt-2 .\end{array} For any $x$, the left side of the inequality above is a non-negative number. This is never less than the negative number at the right. Hence, there is $\text{ no solution .}$