Suppose that a number x is to be selected from the real line S, and let A, B, and C be the events represented by the following subsets of S, where the notation {x: - - -} denotes the set containing every point x for which the property presented following the colon is satisfied:
A = {x: 1≤ x ≤ 5},
B = {x: 3< x ≤ 7},
C = {x: x ≤ 0}.
Describe each of the following events as a set of real numbers:
a. Ac
b. A ∪ B
c. B ∩ Cc
d. Ac ∩ Bc ∩ Cc
e. (A ∪ B) ∩ C.