Solving an Inequality Question Involving Ceiling Function

[jack1234]

Inequality question involving Ceiling

I have seen the following sentence in the reference book,
B-1 >= Ceiling(N/B) implies that B must at least be large enough to satisfy
B*(B-1) >= N

but how does
B-1 >= Ceiling(N/B)
implies
B*(B-1) >= N
?

Note that B and N are natural numbers.

 

[tiny-tim]

I have seen the following sentence in the reference book,
B-1 >= Ceiling(N/B) implies that B must at least be large enough to satisfy
B*(B-1) >= N

but how does
B-1 >= Ceiling(N/B)
implies
B*(B-1) >= N
?

Note that B and N are natural numbers.

Hi jack!

Hint: Write out the definition of Ceiling (N/B), in full.

Then multiply that by B - what happens?