Question

which venn diagram correctly describes the relationship between the natural numbers (n) and the whole numbers (w)? because some natural numbers are not whole numbers because all whole numbers are natural numbers because all natural numbers are whole numbers because these two sets of numbers have no elements in common

Explanation:

Step1: Recall the definitions

Natural numbers \(N=\{1,2,3,\cdots\}\), whole numbers \(W = \{0,1,2,3,\cdots\}\).

Step2: Analyze the subset relationship

We can see that every natural number is a whole number. So \(N\subseteq W\).

Answer:

The third Venn - diagram (with \(W\) as the larger circle and \(N\) as the smaller circle inside \(W\)) is correct because all natural numbers are whole numbers.