Answer :
Given:
The inequality is
[tex]3|p+4|+5<8[/tex]
To find:
The solution set for the given inequality.
Solution:
We have,
[tex]3|p+4|+5<8[/tex]
[tex]3|p+4|<8-5[/tex]
[tex]3|p+4|<3[/tex]
Divide both sides by 3.
[tex]|p+4|<1[/tex]
It can be written as
[tex]-1<p+4<1[/tex]
Subtracting 4 from each side, we get
[tex]-1-4<p+4-4<1-4[/tex]
[tex]-5<p<-3[/tex]
The solution set of the given inequality is (-5,-3).
Therefore, the correct option is A.