What is the answer to - 8 (p+2) <-52

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