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Math Help - Finding value of variable within a domain

  1. #1
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    Question 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??
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  2. #2
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    Re: Finding value of variable within a domain

    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.
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