Determine whether the sets are equal, equivalent, both, or neither.
-$\{ x \mid x$ is a whole number $\}$ and $\{ x \mid x$ is an integer $\}$
A) Equivalent
B) Both
C) Equal
D) Neither

Question

Quizplus · Accepted Answer

The set of whole numbers includes all non-negative integers (0, 1, 2, 3, ...), while the set of integers includes all whole numbers as well as negative integers (... -3, -2, -1, 0, 1, 2, 3, ...). Thus, these sets are not equal because the set of integers contains elements (negative numbers) that are not in the set of whole numbers. However, they are equivalent because both sets are infinite and can be put into a one-to-one correspondence with each other.

Determine Whether the Sets Are Equal, Equivalent, Both, or Neither {x∣x\{ x \mid x{x∣x

Determine Whether the Sets Are Equal, Equivalent, Both, or Neither $\{ x \mid x$