...I am confident that I can help you become proficient in the main areas of this subject. Topics include: solving equations, equation inequalities, systems of equations, algebraic manipulation of formulas, powers and roots, quadratic equations, exponents and logarithms. I have over 10 years experience tutoring trigonometry. (read more)
...Suppose that R on A is antisymmetric. Let R = {(m, n): m, n ? A}. Therefore, by definition of inverse relation, R-1 = {(n, m): m, n ? A}. Let (m, n) ? (R n R-1). By definition of intersection, (m, n) ? R and (m, n) ? R-1. Because (m, n) ? R-1, (n, m) ? R. (read more)