I think Mikey is just asking for a hint for a method to solve it, and doesn't want the actual answer. The former, of course, is exactly what we want...
Please explain the relevant definition of "congruent", and the context of the problem. What topic have you been studying? Also, of course, make sure...
I would suppose that \lfloor{x}\rfloor = a and the fractional part is b, so that x = a + b, with 0 \le b < 1, and we have x - \lfloor{x}\rfloor = b....
Interestingly, the work that gave the "right" answer is the work for finding the domain of the LHS. So evidently this inequality is true whenever it...
Yes, I missed that because I didn't try to actually solve it. Assuming A and B are supposed to be real, there is no solution; if not, then there are...
I was a software engineer for many years, and have been teaching at a community college since 2004. Since 1998, I was a part of Ask Doctor Math (http://mathforum.org/dr.math/ and now http://themathdoctors.org/).