If

is an integer, you can use induction. First show the inequality holds for

. You have

, which is true.
Now assume this holds in general for

, i.e. that

. We want to prove the statement then must hold for

.
Because

, you have

and this must be greater than

for the statement to be true, so we require

for

. Well this is obviously true, because solving the inequality gives

. So you're done.
If you

is any real number, you can use derivatives to show that

increases monotonically and faster than

.
Answer:
(1, -3)
Step-by-step explanation:
I am assuming there are more than one juice box in a package so if the amount of juice boxes in each package is X and there are four packages 4X.
So 4X - 2= Answer
If we make it so that there are 6 juice boxes in each package and use the same method this is what we'll get:
24 - 2= 22
22 would be the juice boxes left over.
I hope this answers your question, if it doesn't use the same method with the number of juice boxes in a package.
Answer:
6 pounds of coffee.
Step-by-step explanation:
First, we determine how much money she spent. 80-31.76 = 48.24
Next, we divide the money spent by the price per unit. 48.24/8.04=6
Therefore, she bought 6 pounds of coffee.
Answer:
9 inches deep
Step-by-step explanation:
12 inches - 3 inches = 9 inches