Question

draw a venn diagram showing the relationship between the set of natural numbers and the set of whole numbers... choose the correct venn diagram below. a. diagram with circle n inside circle w, b. diagram with separate circles n and w, c. diagram with overlapping circles n and w

Explanation:

Step1: Recall number set relations

Natural numbers ($\mathbb{N}$) are positive integers (1, 2, 3, ...). Whole numbers ($\mathbb{W}$) include 0 and all natural numbers (0, 1, 2, 3, ...). So $\mathbb{N} \subset \mathbb{W}$.

Step2: Analyze Venn diagrams

• Option A: Inner circle $\mathbb{N}$, outer $\mathbb{W}$ (matches $\mathbb{N} \subset \mathbb{W}$).
• Option B: Disjoint circles (incorrect, as $\mathbb{N}$ is part of $\mathbb{W}$).
• Option C: Overlapping circles (incorrect, as $\mathbb{N}$ is a subset of $\mathbb{W}$).

Answer:

A. The Venn diagram with $\mathbb{N}$ as a subset of $\mathbb{W}$ (inner circle $\mathbb{N}$, outer circle $\mathbb{W}$)