4 ms·

So what is the actual solution?

• teilo 17y ago
  The solution is exactly what Alpha computed: x > 1. The numerator factors to (x-1.5)(x-1), which reduces the problem to x - 1 > 0. Solve for x: x > 1. Not sure what the fuss here is.
  • RiderOfGiraffes 17y ago
    The fuss is that the inequality is undefined when x=1.5 and so there is no definition of what happens in that case. Performing "obvious" completions of incompletely defined functions is assuming you know the context, and sometimes you don't. This is a sloppy engineering solution that is not guaranteed to be right in all contexts. Without the context, the correct solution is to say that the question is ill-defined/undefined when x=1.5, and all values of x such that x>1 and x.ne.1.0 satisfy the given inequality.