Determine which integers in the set $S: \{-2, -3, -4, -5\}$ will make the inequality $2p - 8 < 5p + 4$ true.

A$S: \{-2, -3\}$

B$S: \{-3, -4\}$

C$S: \{-4, -5\}$

D$S: \{-2, -5\}$