Math Problem Statement

III. Write the set-builder form of the following sets: 1. {..., -2, -1, 0, 1, 2, 3, 4} 2. {25, 30, 35, 40} 3. {1, 2, 4, ...} IV. Give the roster form of the following: 1. {x | x is a counting number, 25 ≤ x ≤ 30} 2. {2x | x ≤ 1, x > 1} 3. {x | x ∈ N, x ≤ 2}

Solution

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From what I can see, you're working on the following tasks:

III. Write the set-builder form of the following sets:

  1. {...,−2,−1,0,1,2,3,4}\{ ..., -2, -1, 0, 1, 2, 3, 4 \}
  2. {25,30,35,40}\{ 25, 30, 35, 40 \}
  3. {1,2,4,...}\{ 1, 2, 4, ... \}

IV. Give the roster form of the following:

  1. {x∣x is a counting number,25≤x≤30}\{ x | x \text{ is a counting number}, 25 \leq x \leq 30 \}
  2. {2x∣x≤1,x>1}\{ 2x | x \leq 1, x > 1 \}
  3. {x∣x∈N,x≤2}\{ x | x \in \mathbb{N}, x \leq 2 \}

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Math Problem Analysis

Mathematical Concepts

Set Theory
Set Builder Notation
Roster Notation

Formulas

Set Builder and Roster Forms of Sets

Theorems

Basic Set Theory Theorems

Suitable Grade Level

Grades 9-11

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