Math Problem Statement

Given sets A = {1, 2, 3} and B = {2, 3, 4}, perform the following set operations: a) A ∪ B, b) A ∩ B, c) B ∖ A, d) A ∖ B.

Solution

Let's work through the set operations based on the sets provided in the image.

We have the following sets:

  • A={1,2,3}A = \{1, 2, 3\}
  • B={2,3,4}B = \{2, 3, 4\}

The operations are:

  1. A∪BA \cup B (Union of

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Math Problem Analysis

Mathematical Concepts

Set Theory
Union
Intersection
Difference

Formulas

A ∪ B = {x | x ∈ A or x ∈ B}
A ∩ B = {x | x ∈ A and x ∈ B}
B ∖ A = {x | x ∈ B and x ∉ A}
A ∖ B = {x | x ∈ A and x ∉ B}

Theorems

Basic Set Operations Theorem

Suitable Grade Level

Grades 9-11

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