1. Write each of the following sets by listing their elements between braces:
(a) {x ∈ ℤ : -2 ≤ x < 7}
(b) {x ∈ ℤ : |2x| < 5}
(c) {x ∈ ℑ : x^2 + 5x = -6}
(d) {3x + 2 : x ∈ ℤ}
2. Write out the following sets in interval notation:
(a) {x ∈ ℑ : x > 6}
(b) The domain of the function f(x) = 1 / √(x - 2)
3. Find the following cardinalities.
(a) |{x ∈ ℤ : x^2 < 10}|
(b) |{∅, 1, {1}}|
4. Let A = {1, 2} and B = {p, q, r, s}, what are:
(a) A × B
(b) B × A
(c) A × A
5. List all the subsets of the set Z = {A, B, C, D}.