Math Problem Statement

Let G be the set of natural numbers less than five

Solution

The set GG of natural numbers less than five can be written as:

G={1,2,3,4}G = \{ 1, 2, 3, 4 \}

Note that natural numbers typically start from 1, so the elements of GG are all natural numbers less than 5.

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Here are 5 related questions to expand this concept:

  1. What is the set of natural numbers less than 10?
  2. How do we define the set of natural numbers greater than 5?
  3. Can natural numbers include zero in certain contexts?
  4. What is the sum of all elements in GG?
  5. What are the even numbers within the set GG?

Tip: In set theory, the set notation {}\{ \} is used to list elements explicitly, and you can define sets by properties as well (e.g., G={xNx<5}G = \{ x \in \mathbb{N} \mid x < 5 \}).

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Math Problem Analysis

Mathematical Concepts

Set Theory
Natural Numbers

Formulas

Set Notation: G = {x ∈ ℕ | x < 5}

Theorems

Definition of Natural Numbers

Suitable Grade Level

Grades 5-7

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