Hello from MrBillDoesMath!
Answer:
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