Thread: Finding value of variable within a domain

How do I solve for Y? if domain of X is >= 0 and <=255
1090519040<=(X*Y)<=12184453140 | 0<= X <= 255

Not sure what kind of problem this is. I'm supposed to find a value of Y so that all I need to do is times Y with X to find a value that will always be a whole number between 1090519040 and 12184453140. X will always be a whole number between 0 and 255. What are the correct steps to solve for Y??

Since X is positive, multiplying or dividing both sides of an inequality by X will not change the direction of the inequality- 1090519040/X< Y< 12184453140/X. Since X is at most 255, what is the smallest Y can be? Since X can be any positive number, what does that tell you about how large Y can be? Note that since X and XY must be integers, Y may not be an integer.