Math 101: Introduction to Sets

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Questions and Answers

What is a set in mathematics?

  • A collection of undefined objects
  • A collection with no well-defined boundaries
  • An ambiguous collection of elements
  • A well-defined collection of objects (correct)

What is the empty set denoted by?

  • A or a
  • {∅}
  • Capital letters
  • ∅ or {} (correct)

What is used to denote sets?

  • Uppercase letters (correct)
  • Lowercase letters
  • Symbols
  • Numbers

What is meant by a well-defined set?

<p>A set with clear membership criteria (D)</p> Signup and view all the answers

How is set membership notation written?

<p>x ∈ A (C)</p> Signup and view all the answers

What is the condition for set A to be a subset of set B?

<p>Every element of A is an element of B (A)</p> Signup and view all the answers

What is the symbol used to denote a proper subset?

<p>⊂ (A)</p> Signup and view all the answers

What is the condition for two sets A and B to be equal?

<p>A ⊆ B and B ⊆ A (D)</p> Signup and view all the answers

What is the universal set denoted by in a discussion of sets?

<p>U (C)</p> Signup and view all the answers

What is the method of describing a set by listing its elements in a pair of braces?

<p>Roster method (B)</p> Signup and view all the answers

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