Which set includes whole natural numbers together with zero?

The choice that correctly identifies the set that includes whole natural numbers together with zero is the one denoted as W, which is represented as {0, 1, 2, 3,...}. This set is commonly referred to as the set of whole numbers. It contains all the non-negative integers starting from zero and extends infinitely with the inclusion of all positive integers.

Natural numbers typically refer to the set of positive integers starting from 1 (denoted as {1, 2, 3,...}), but the inclusion of zero expands the set to whole numbers, which is why set W is the most accurate representation in this context.

The other sets provided do not include both natural numbers and zero in the same way. The set represented by N includes only the positive integers without zero. The set denoted by Z encompasses the whole range of integers, which includes both positive and negative numbers as well as zero, but it does not specifically focus on whole numbers with zero. The set R consists of real numbers, which includes fractions and decimals, and is not limited to integers or whole numbers. Thus, the selection of W is indeed the correct choice for the set that includes whole natural numbers along with zero.