This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions and intersections can be calculated as for any subsets. Given two relations Rand S from a set A to a set B, RUS= {(x, y) E A × B| (x, y) ERor (x, y) E S} RN S= {(x, y) E A x B| (x, y) ER and (x, y) E S}. Let A = {-4, 4, 7, 9} and B = {4, 7}, and define relations R and S from A to B as follows. For every (x, y) EA x B, x R y |x| = [yl and xSy+x- y is even. Which ordered pairs are in A x B, R, S, RU S, and Rn S? (Use set-roster notation to enter your answers.) A xB = R = S = RUS = ROS =

This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions and intersections can be calculated as for any subsets. Given two relations R and S from a set A to a set B, RUS = {(x, y) E AXB I (x, y) ER or (x, y) E S} RNS = {(x, y)E AXB| (x, y) ER and (x, y) Es}. Let A = {-2, 2, 3, 5} and B = {2, 3} and define relations R and S from A to B as follows: For every (x, y) E Ax B, x R y - |x| = lyl and xsyex - y is even. Using set-roster notation, state explicitly which ordered pairs are in A x B, R, S, RU S, and RN s. (Enter your answers as comma-separated lists of ordered pairs.) AXB = R = S = RUS = ROS =

Plz give proper explanation  and give correct solution.

Determine the image under $(u, v) = (7u, u + 5v) of the following sets: (a) U-axis: (x, y) = (b) v-axis: (x, y) = (c) $(9, 3) (x, y) =