Algebra of Sets Quiz

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Questions and Answers

Which set-theoretic operation is analogous to arithmetic addition?

  • Complementation
  • Union (correct)
  • Set equality
  • Intersection

What property do set union and intersection share with arithmetic addition and multiplication?

  • Associativity and commutativity (correct)
  • Distributivity and reflexivity
  • Idempotence and reflexivity
  • Transitivity and antisymmetry

Which relation in set theory is analogous to the arithmetic relation 'less than or equal'?

  • Subset (correct)
  • Intersection
  • Union
  • Complement

What forms a Boolean algebra in the algebra of sets?

<p>$\text{Any set of sets closed under the set-theoretic operations}$ (A)</p> Signup and view all the answers

Which mathematical structure defines the properties and laws of sets in the algebra of sets?

<p>$\text{Algebra of sets}$ (C)</p> Signup and view all the answers

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