177k views
3 votes
Set A = ∅. Set A is NOT a subset of which set of numbers?

a. Rational numbers
b. Whole numbers
c. Irrational numbers
d. Integers

User Pflevy
by
9.0k points

1 Answer

2 votes

Final answer:

The empty set represented by Set A is a subset of all other sets, including sets of rational, whole, irrational numbers, and integers. Therefore, Set A is a subset of all the provided categories.

Step-by-step explanation:

The question is asking about subset relationships between a set containing no elements, referred to as the empty set or null set, and different sets of numbers. By definition, the empty set is a subset of all other sets, including the sets of rational numbers, whole numbers, irrational numbers, and integers. Therefore, Set A, which is the empty set (indicated by ∅), is indeed a subset of all the provided options, meaning it is not not a subset of any of them.

In formal terms, for any given set B, the empty set is always a subset of B since there are no elements in the empty set that are not in B. Hence, the answer to the question "Set A = ∅. Set A is NOT a subset of which set of numbers?" is that it is a trick question; the empty set is a subset of any set, including rational numbers, whole numbers, irrational numbers, and integers.

User Vincent Peres
by
8.0k points