What is the greatest remainder when a number is being divided by 12? guys help me show me how?

Question

nincompoop · Answer

that would be any real number which is less than 12
remainder x < 12

solomonzelman · Answer

11.
The greatest remainder that could be when x is divided by a natural number is x-1.

nincompoop · Answer

that only applies to counting or natural number @SolomonZelman 
remainder can be either rational or irrational

solomonzelman · Answer

that is what the question was about.

solomonzelman · Answer

And real number can be a any rational or irrational number, so i think your answer is therefore wrong.

nincompoop · Answer

where in the question did you see that it is only in the case of natural number?

solomonzelman · Answer

Whenever the question is asking what is the greatest remainder....

these type of questions always ask about positive integers.

nincompoop · Answer

$$\frac{ x }{ 12 }<12$$
now look do the interval notation and then graph

solomonzelman · Answer

My bad I think I misread the question, sorry!

goformit100 · Answer

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