DISCRETE MATH

(Recall that Z = {. . . , 2, 1, 0, 1, 2, . . .} is the integers, Z + = {1, 2, 3, . . .} is the positive integers, and Z = {1, 2, 3, . . .} is the negative integers.)

Describe each of these sets using the roster method. (That is, describe them by listing their elements, as Z, Z +, and Z are described above)

a) P({Z +, Z })

b) P({1, 2}) {1, 2}

c) {x Z | x 1 x 3} Z +

d) {x Z | x 1 x 3} Z

e) {x Z | x 3} {x Z | x 3}

f) {x Z + | x is even} {5, 6, 7, 8, 9, 10}