Find a Rose, NY Geometry Tutor
John B. - $26.00/hr - Martville, NY - View John B. >>
...I also have previous experience as a substitute teacher and teaching religious education. My online tutoring experience includes 2 years of Algebra 1 and Geometry with approx. 5 different students and 4 years teaching a special needs student in Algebra, Geometry, History, Public Policy and Econo... (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)