Problem #6: For each of the following relations on the set of all real numbers, decide whether or not the relation is reflexive, symmetric, antisymmetric, and/or transitive. Give a brief explanation of why the given relation either has or does not have each of the properties. (x,y)ER if and only if: x+y=0 x - y is a rational number (a rational number is a number that can be expressed in the form a/b where a and b are integers) x-2y xy 0 (2) (3) X