Math Problem Statement

Is 3 ∊ {1, 2, 3}? yes or no?

Solution

Yes, 3{1,2,3}3 \in \{1, 2, 3\}.

The symbol \in represents "is an element of." Since the set {1,2,3}\{1, 2, 3\} contains the number 3, it is correct to say that 3 is an element of that set.

Do you need more details on sets or the concept of membership?

Here are some related questions:

  1. What is the difference between a set and a subset?
  2. How do you express set membership using symbols?
  3. What does the symbol \notin mean in set theory?
  4. Can a set contain other sets as elements?
  5. How do you describe the union or intersection of two sets?

Tip: A set can be defined explicitly by listing its elements, or it can be defined by a rule or condition (e.g., {xx is a positive integer}\{x \mid x \text{ is a positive integer}\}).

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Math Problem Analysis

Mathematical Concepts

Set Theory
Set Membership

Formulas

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Theorems

Definition of Set Membership

Suitable Grade Level

Grades 5-7