Math Problem Statement

2 ⊆ {1, 2, 3}

Solution

The expression shown in the image is:

2{1,2,3}2 \subseteq \{1, 2, 3\}

This expression is not valid because 2 is an individual element, while the symbol "⊆" (subset) is used to denote a relationship between sets. For the subset notation to make sense, both the left-hand and right-hand sides should be sets.

To make it correct, it should be something like: {2}{1,2,3}\{2\} \subseteq \{1, 2, 3\}

This is true, as the set {2}\{2\} is a subset of {1,2,3}\{1, 2, 3\}, meaning that all elements of {2}\{2\} are contained within {1,2,3}\{1, 2, 3\}.

Would you like further details or clarification?

Here are 5 related questions:

  1. What is the difference between an element and a subset in set theory?
  2. Can an empty set be a subset of any set?
  3. How do we determine if one set is a subset of another?
  4. What is the meaning of a proper subset, and how is it denoted?
  5. Can a set be a subset of itself?

Tip: Always ensure both sides of the subset symbol are sets for the notation to be valid.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Subset

Formulas

-

Theorems

Subset Definition

Suitable Grade Level

Grades 7-9