Find a Bundyville, NY Prealgebra Tutor
Andrew K. - $50.00/hr - Baldwinsville, NY - View Andrew K. >>
...Thank you for your consideration!I successfully completed Regents exams in Mathematics, Physics, US History, and English, earning a NY Regents High School diploma in 1999. Since then I attended the U.S. Naval Academy, majoring in Systems Engineering, and have served 10 years as a Navy Nuclear Submarine Officer. (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)