Answer: p > 9/2
Step-by-step explanation:
1st method, without dividing by negative number.
-8(p+2) < -52
-8p - 16 < -52
-16 < -52 + 8p
-16 + 52 < 8p
36 < 8p
36/8 < p
p > 9/2
Second method,
-8(p+2) < -52
p+2 > (-52/-8)
(NOTE: dividing or multiplying by negative number will change the sign.
p > (13/2) -2
p > (13-4) / 2
p > 9/2