Select all of the following true statements if R = real numbers, I = integers, and W = {0, 1, 2, ...}.
a) W ⊂ I
b) R ⊂ W
c) 0 ∈ I
d) Ø ⊂ R
e) {0, 1, 2, ...} ⊆ W
f) -2 ∈ W

Question

Select all of the following true statements if R = real numbers, I = integers, and W = {0, 1, 2, ...}.
a)  W ⊂ I
b)  R ⊂ W
c)  0 ∈ I
d)  Ø ⊂ R
e)  {0, 1, 2, ...} ⊆ W
f)  -2 ∈ W

anonymous · Answer

The nonnegative integers are indeed a proper subset of the integers. The reals however are not. 0 is indeed an integer. The empty set is a proper subset of every nonempty set. The nonnegative integers are a subset of the nonnegative integers. -2 is not a nonnegative integer.