This problem is designed to help you understand the relationship between the properties of symmetry and anti-symmetry. Consider the following statements and check (only) the ones that are true. A. If a relation is symmetric, it can't be anti-symmetric. B. Any relation that is 'restricted to the diagonal', i.e aRb only if a=b, is both symmetric and anti-symmetric. C. On any set, the equality relation is the only relation that is both symmetric and anti-symmetric. D. If a relation is anti-symmetric, it can't be symmetric. E. If even one off-diagonal relationship exists, i.e. if there is even one pair a,b with aRb but a and b not equal, then the relation cannot be both symmetric and anti-symmetric. F. The equality relation on any set is both symmetric and anti-symmetric. G. None of the above