Answer:
B
Step-by-step explanation:
Consider the inequality [tex]|x|+19\le 3[/tex]
Subtract 19 from both sides of inequality:
[tex]|x|+19-19\le 3-19\\ \\|x|\le -16[/tex]
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.