Find a Geddes, NY Statistics Tutor
Julie L. - $40.00/hr - Syracuse, NY - View Julie L. >>
...Hi! As a senior in high school I scored a 32 on my ACT. Since then I have completed my B.S. in Biology and have a keen scientific eye that is well trained to help you ace the ACT science portion! (read more)
Robert W. - $70.00/hr - Hannibal, NY - View Robert W. >>
...Suppose R n R-1 ? {(a, a): a ? A}. Let R = {(x, y): x, y ? A}. By definition of inverse relation, R-1 = {(y, x): x, y ? A}. By definition of subset, if (x, y) ? R n R-1, (x, y) ? {(a, a): a ? A}. Hence, x = y, and so (x, y) ? R implies (y, x) ? R. Since x = y, ? (xRy ? yRx), x = y. Thus, by definition of antisymmetric, R on A is antisymmetric. (read more)