What is the answer to this problem?

Hello from MrBillDoesMath!

The correct answer is p >= -5/3

but I don't see that answer as a provided choice  (?)

Discussion:

Solve:

2(6p-5) >= 3(p-8) - 1   =>

2*6p - 2*5 >= 3*p - 3*8 -1  =>

12p -10 >= 3p - 24 - 1         =>   (subtract 3p from both sides)

12p-3p - 10 >= -25              =>   (add 10 to both sides)

9p               >=  -25 + 10 = -15    =>

p >= -15/9 = -5/3

Regards,  

MrB

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .