...I am a 68 year old retiree who enjoys working with high school students to improve their algebra and geometry skills. I have been doing on-line tutoring for 4 years and believe I’ve helped several students improve their grades while also keeping my own cognitive skills refreshed in retirement. I also have previous experience as a substitute teacher and teaching religious education. (read more)
...I achieved perfect math scores of 800 on both the SAT and the GRE. I have tutored many students, especially in NY high school Regents math and science courses, as well as college calculus and calculus-based physics, and I truly enjoy sharing my methods of understanding these subjects with others. I will happily provide recommendations from my former students upon request. (read more)
...Therefore, (m, n) ? R and (n, m) ? R. Since by definition of antisymmetric, (mRn ? nRm) implies m = n, then m = n. Notice that m and n are equal elements of A, and that (m, n) ? (R n R-1). Therefore, ? (m, n) ? (R n R-1), (m, n) ? {(a, a): a ? A}. Thus, by definition of subset, (R n R-1) ? {(... (read more)