Question

PLEASE HURRY!!!

Select ALL of the following true statements if R = real numbers, N = natural numbers, and W = {0, 1, 2, ...}.


W ⊂ N
{0, 1, 2, ...} W
9 ∈ W
R ⊂ W
∅⊂ N
-5 ∈ W

Answer 1

the following statements are true:

W ⊂ N: This is true because W is the same set as N, which is the set of natural numbers.

9 ∈ W: This is true because 9 is a natural number, i.e. it is an element of W.

∅⊂ N: This is true because the empty set is a subset of any set.

The following statements are false:

{0, 1, 2, …} W: This is false because the symbol W means “is an element of”, not “is a subset of”. The correct symbol for subset is ⊂.

R ⊂ W: This is false because R is not a subset of W, since the real numbers include negative numbers, fractions, and irrational numbers, which are not in W.

-5 ∈ W: This is false because -5 is not a natural number, i.e. it is not an element of W.

Explanation: