1. Define S := {1, 2, . . . , 100}. Let W := {x ∈ S : x mod 2 = 0}, H := {x ∈ S : x mod 3 = 0}, and O := S − H − W. Is {W, H, O} a partition of S? 2. What is the power set of each of the following...

1. Define S := {1, 2, . . . , 100}. Let W := {x ∈ S : x mod 2 = 0}, H := {x ∈ S : x mod 3 = 0}, and O := S − H − W. Is {W, H, O} a partition of S?

2. What is the power set of each of the following sets?

1{1, a}