I haven't done these types of problems in a while so I'm not completely sure if I'm right but I did some work and got C. "p<-2 or p>-1".
-6+|2p+3|>7
-6 -6
-----------------
2p+3>1
-3 -3
-----------------
2p >-2
--- ---
2 2
-------------------
p > -1
I hope this helped a little bit.
