Let events A and B and sample space S be defined as the following intervals: S =

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Let events A and B and sample space S be defined as the following intervals:
S = {x : 0 ≤ x ≤ 10}
A = {x : 0 < x < 5}
B = {x : 3 ≤ x ≤ 7}

Characterize the following events:
(a) AC
(b) A ∩ B
(c) A ∪ B
(d) A ∩ BC
(e) AC ∪ B
(f) AC ∩ BC

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