Grading papers over the weekend for overtime pay. One of the questions on the paper is:

"True or False: Given two numbers x and y, if x/y > 0, then x > 0 and y > 0. If this is false, explain why or give a counterexample."

This is actually missed pretty frequently. However, I grab a paper to grade today and the answer they gave was:

"False because nothing is greater than zero."

I lost, silently wept to myself, and ragequit the paper for the day. Like, how do I even correct this without being condescending? "Your answer is correct, but your reasoning is not correct. For example, 1 is greater than zero."

whyyyyyyy