1. Let A = {1,2,3}, B = {0,2,4}, and X = {x,y}.

(a) Write A B in set-list notation.

(b) Write A B in set-list notation.

(c) Write A X in set-list notation.

(d) Write P(B) in set-list notation.

(e) Write {2a + 1 | a A} in set-list notation.

(f) Write {a1 a2 | a1 A and a2 A} in set-list notation.

(g) Write {. . . , 4, 2, 0, 2, 4, 6, . . .} in set-builder notation. (There are many possible answers here.)

(h) Give a short, English description of the set {3n | n Z}. (Remember that Z is the set of integers.)

(i) Give a definition (using set-builder notation) of the set of all integers greater than 4.