It sounds like your teacher prefers set notation. But you're right that {y|y is a real number and y is not 0} describes the same set of numbers as the statement "all real numbers except 0". {y|y is a real number and y is not 0} is the answer in set notation. In your last answer, TR /= 0, it looks like you mean TR = the set of real numbers. It's the R with the extra vertical bar that I can't type in this format. Well, technically the way you would express that answer is TR - {0}. That means "the set of real numbers" minus "the set that contains only zero." It's ever so slightly incorrect to write TR /= 0 because the thing on the left is a set and the thing on the right is a number.