**Question **# Problem 1 [25 pts]: Convert each set S to the listing method. It is ok to include ellipses whereappropriate. Remember that the set N includes 0, which is an even number. . S = {x:xN and [x] <5} . S = {x € R : 2x € R} where R = {2, 3, 5, 8, 13}. S = { x P and 2x - 1 € P} where P = {r € N:r < 20 and x is prime} - S = {2rx € T} where T = {y: 3y = W} and W = {1,3,7}. . S = {(x, y) € Z × Z : d((x, y), (0,0)) = √2 and d is the Euclidian distance function}