B
Step-by-step explanation:
Consider the inequality ![|x|+19\le 3](/tpl/images/0461/9199/42175.png)
Subtract 19 from both sides of inequality:
![|x|+19-19\le 3-19\\ \\|x|\le -16](/tpl/images/0461/9199/518e0.png)
Since the absolute value of the variable x is always non-negative (by definition), then the absolute value of x cannot be less or equal to -16. This means the inequality has no solutions.