[tex]\textbf{Answer:}[/tex]
[tex]\textrm{No solution}[/tex]
[tex]\textbf{Step-by-step explanation:}[/tex]
[tex]|x| + 7 < 4[/tex]
[tex]\textrm{Subtract seven from both sides}[/tex]
[tex]-7 + 4 \rightarrow -3[/tex]
[tex]|x| < -3[/tex]
[tex]\textrm{Absolute value cannot be less than zero}[/tex]