...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)
...My teaching methodology is focused on making mathematics accessible and relevant to students from diverse backgrounds by mathematizing contexts that are relevant to students' lives so they can make a connection between mathematical knowledge and its application in their daily lives. In short, I ... (read more)